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32131322122332 = 22329613229468761
BaseRepresentation
bin1110100111001001010000…
…00010101001000001011100
311012202201120002021121221210
413103210220002221001130
513202414421430403312
6152200531533024420
76524261054460546
oct723445002510134
9135681502247853
1032131322122332
11a2688a9749054
12372b322925110
1314c0c8075a544
147d1242b44696
153aac21c29e3c
hex1d39280a905c

32131322122332 has 96 divisors (see below), whose sum is σ = 78854393620800. Its totient is φ = 10168416921600.

The previous prime is 32131322122307. The next prime is 32131322122343. The reversal of 32131322122332 is 23322122313123.

It is a super-2 number, since 2×321313221223322 (a number of 28 digits) contains 22 as substring.

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 32131322122332.

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, 68310832 + ... + 68779592.

It is an arithmetic number, because the mean of its divisors is an integer number (821399933550).

Almost surely, 232131322122332 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 32131322122332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39427196810400).

32131322122332 is an abundant number, since it is smaller than the sum of its proper divisors (46723071498468).

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

32131322122332 is a wasteful number, since it uses less digits than its factorization.

32131322122332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472087 (or 472085 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 32131322122332 its reverse (23322122313123), we get a palindrome (55453444435455).

The spelling of 32131322122332 in words is "thirty-two trillion, one hundred thirty-one billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 1769 3229 3538 5307 6458 7076 9687 10614 12916 19374 21228 38748 93641 187282 196969 280923 374564 393938 468761 561846 590907 787876 937522 1123692 1181814 1406283 1875044 2363628 2812566 5625132 5712101 11424202 13594069 17136303 22848404 27188138 28594421 34272606 40782207 54376276 57188842 68545212 81564414 85783263 114377684 163128828 171566526 343133052 829238209 1513629269 1658476418 2487714627 3027258538 3316952836 4540887807 4975429254 6054517076 9081775614 9950858508 18163551228 43895248801 87790497602 92331385409 131685746403 175580995204 184662770818 263371492806 276994156227 369325541636 526742985612 553988312454 1107976624908 2677610176861 5355220353722 8032830530583 10710440707444 16065661061166 32131322122332