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32131132331232 = 2531123837222219
BaseRepresentation
bin1110100111001000111001…
…01110101001010011100000
311012202201001212011020111210
413103210130232221103200
513202414024334044412
6152200501033110120
76524253261332664
oct723443456512340
9135681055136453
1032131132331232
11a2688115a9200
12372b28b258340
1314c0c50338c0c
147d122585c8a4
153aac1023a83c
hex1d391cba94e0

32131132331232 has 144 divisors (see below), whose sum is σ = 92951011399680. Its totient is φ = 9711283211520.

The previous prime is 32131132331197. The next prime is 32131132331251. The reversal of 32131132331232 is 23213323113123.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 32131132331232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837819 + ... + 8060037.

It is an arithmetic number, because the mean of its divisors is an integer number (645493134720).

Almost surely, 232131132331232 is an apocalyptic number.

32131132331232 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 32131132331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46475505699840).

32131132331232 is an abundant number, since it is smaller than the sum of its proper divisors (60819879068448).

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

32131132331232 is a wasteful number, since it uses less digits than its factorization.

32131132331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222637 (or 7222618 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 32131132331232 its reverse (23213323113123), we get a palindrome (55344455444355).

The spelling of 32131132331232 in words is "thirty-two trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 383 484 528 726 766 968 1056 1149 1452 1532 1936 2298 2904 3064 3872 4213 4596 5808 6128 8426 9192 11616 12256 12639 16852 18384 25278 33704 36768 46343 50556 67408 92686 101112 134816 139029 185372 202224 278058 370744 404448 556116 741488 1112232 1482976 2224464 4448928 7222219 14444438 21666657 28888876 43333314 57777752 79444409 86666628 115555504 158888818 173333256 231111008 238333227 317777636 346666512 476666454 635555272 693333024 873888499 953332908 1271110544 1747776998 1906665816 2542221088 2621665497 2766109877 3495553996 3813331632 5243330994 5532219754 6991107992 7626663264 8298329631 10486661988 11064439508 13982215984 16596659262 20973323976 22128879016 27964431968 30427208647 33193318524 41946647952 44257758032 60854417294 66386637048 83893295904 88515516064 91281625941 121708834588 132773274096 182563251882 243417669176 265546548192 334699295117 365126503764 486835338352 669398590234 730253007528 973670676704 1004097885351 1338797180468 1460506015056 2008195770702 2677594360936 2921012030112 4016391541404 5355188721872 8032783082808 10710377443744 16065566165616 32131132331232