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332302020331232 = 2574123832304191
BaseRepresentation
bin100101110001110100001011…
…1111000010100011011100000
31121120120202121011000200111002
41023203220113320110123200
5322023414014201044412
63134425235104211132
7126665012562140360
oct11343502770243340
91546522534020432
10332302020331232
119697754a421396
123132a436309aa8
1311355c3b64c4a3
145c0b709c429a0
152863e11350dc2
hex12e3a17e146e0

332302020331232 has 144 divisors (see below), whose sum is σ = 768361689317376. Its totient is φ = 138578779315200.

The previous prime is 332302020331157. The next prime is 332302020331261. The reversal of 332302020331232 is 232133020203233.

It is a super-2 number, since 2×3323020203312322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332302020331195 and 332302020331204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143064257 + ... + 145368447.

It is an arithmetic number, because the mean of its divisors is an integer number (5335845064704).

Almost surely, 2332302020331232 is an apocalyptic number.

332302020331232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332302020331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384180844658688).

332302020331232 is an abundant number, since it is smaller than the sum of its proper divisors (436059668986144).

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

332302020331232 is a wasteful number, since it uses less digits than its factorization.

332302020331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304673 (or 2304624 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 332302020331232 its reverse (232133020203233), we get a palindrome (564435040534465).

The spelling of 332302020331232 in words is "three hundred thirty-two trillion, three hundred two billion, twenty million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 383 574 656 766 1148 1312 1532 1681 2296 2681 3064 3362 4592 5362 6128 6724 9184 10724 11767 12256 13448 15703 21448 23534 26896 31406 42896 47068 53792 62812 85792 94136 109921 125624 188272 219842 251248 376544 439684 502496 643823 879368 1287646 1758736 2304191 2575292 3517472 4506761 4608382 5150584 9013522 9216764 10301168 16129337 18027044 18433528 20602336 32258674 36054088 36867056 64517348 72108176 73734112 94471831 129034696 144216352 188943662 258069392 377887324 516138784 661302817 755774648 882505153 1322605634 1511549296 1765010306 2645211268 3023098592 3530020612 3873345071 5290422536 6177536071 7060041224 7746690142 10580845072 12355072142 14120082448 15493380284 21161690144 24710144284 27113415497 28240164896 30986760568 36182711273 49420288568 54226830994 61973521136 72365422546 98840577136 108453661988 123947042272 144730845092 197681154272 216907323976 253278978911 289461690184 433814647952 506557957822 578923380368 867629295904 1013115915644 1157846760736 1483491162193 2026231831288 2966982324386 4052463662576 5933964648772 8104927325152 10384438135351 11867929297544 20768876270702 23735858595088 41537752541404 47471717190176 83075505082808 166151010165616 332302020331232