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332130033320 = 23541257788009
BaseRepresentation
bin1001101010101000111…
…11100001111010101000
31011202021201020211112012
410311110133201322220
520420200242031240
6412324535135052
732665330463021
oct4652437417250
91152251224465
10332130033320
11118945821948
1254451814488
1325420598a47
141210a413c48
15898d2d3b65
hex4d547e1ea8

332130033320 has 64 divisors (see below), whose sum is σ = 768498872400. Its totient is φ = 129107230720.

The previous prime is 332130033317. The next prime is 332130033343. The reversal of 332130033320 is 23330031233.

It can be written as a sum of positive squares in 8 ways, for example, as 185473203556 + 146656829764 = 430666^2 + 382958^2 .

It is a super-2 number, since 2×3321300333202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27476 + ... + 815484.

Almost surely, 2332130033320 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 332130033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384249436200).

332130033320 is an abundant number, since it is smaller than the sum of its proper divisors (436368839080).

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

332130033320 is a wasteful number, since it uses less digits than its factorization.

332130033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788318 (or 788314 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 332130033320 its reverse (23330031233), we get a palindrome (355460064553).

The spelling of 332130033320 in words is "three hundred thirty-two billion, one hundred thirty million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 257 328 410 514 820 1028 1285 1640 2056 2570 5140 10280 10537 21074 42148 52685 84296 105370 210740 421480 788009 1576018 3152036 3940045 6304072 7880090 15760180 31520360 32308369 64616738 129233476 161541845 202518313 258466952 323083690 405036626 646167380 810073252 1012591565 1292334760 1620146504 2025183130 4050366260 8100732520 8303250833 16606501666 33213003332 41516254165 66426006664 83032508330 166065016660 332130033320