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332213022130032 = 24335931375194307
BaseRepresentation
bin100101110001001010101111…
…1001011000111111101110000
31121120021020212201012121222000
41023202111133023013331300
5322020434232131130112
63134320315552014000
7126655412245666131
oct11342253713077560
91546236781177860
10332213022130032
119694282a24259a
1231315138b31300
131134a727247084
145c072a5dddc88
152861952e0d7dc
hex12e255f2c7f70

332213022130032 has 160 divisors (see below), whose sum is σ = 955262058600960. Its totient is φ = 110541720960000.

The previous prime is 332213022130027. The next prime is 332213022130081. The reversal of 332213022130032 is 230031220312233.

332213022130032 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 1 + 302 + 21 + 300 + 32 = 666.

It is a super-2 number, since 2×3322130221300322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 332213022129978 and 332213022130005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3522629023 + ... + 3522723329.

It is an arithmetic number, because the mean of its divisors is an integer number (5970387866256).

Almost surely, 2332213022130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332213022130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477631029300480).

332213022130032 is an abundant number, since it is smaller than the sum of its proper divisors (623049036470928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332213022130032 is a wasteful number, since it uses less digits than its factorization.

332213022130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108668 (or 108656 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332213022130032 its reverse (230031220312233), we get a palindrome (562244242442265).

The spelling of 332213022130032 in words is "three hundred thirty-two trillion, two hundred thirteen billion, twenty-two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 593 1186 1779 2372 3558 4744 5337 7116 9488 10674 13751 14232 16011 21348 27502 28464 32022 41253 42696 55004 64044 82506 85392 94307 110008 123759 128088 165012 188614 220016 247518 256176 282921 330024 371277 377228 495036 565842 660048 742554 754456 848763 990072 1131684 1485108 1508912 1697526 1980144 2263368 2546289 2970216 3395052 4526736 5092578 5940432 6790104 8154343 10185156 13580208 16308686 20370312 24463029 32617372 40740624 48926058 55924051 65234744 73389087 97852116 111848102 130469488 146778174 167772153 195704232 220167261 223696204 293556348 335544306 391408464 440334522 447392408 503316459 587112696 671088612 880669044 894784816 1006632918 1174225392 1296815557 1342177224 1509949377 1761338088 2013265836 2593631114 2684354448 3019898754 3522676176 3890446671 4026531672 5187262228 6039797508 7780893342 8053063344 10374524456 11671340013 12079595016 15561786684 20749048912 23342680026 24159190032 31123573368 35014020039 46685360052 62247146736 70028040078 93370720104 140056080156 186741440208 280112160312 560224320624 769011625301 1538023250602 2307034875903 3076046501204 4614069751806 6152093002408 6921104627709 9228139503612 12304186004816 13842209255418 18456279007224 20763313883127 27684418510836 36912558014448 41526627766254 55368837021672 83053255532508 110737674043344 166106511065016 332213022130032