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132131042031432 = 23371720710759219
BaseRepresentation
bin11110000010110000100111…
…110100101111011101001000
3122022211121022111120001202110
4132002300213310233131020
5114304313333230001212
61145004055052302320
736555103253123433
oct3602604764573510
9568747274501673
10132131042031432
1139112507639844
121299ba6a7719a0
135895b99856612
14248b26868681a
151042071b1ea3c
hex782c27d2f748

132131042031432 has 64 divisors (see below), whose sum is σ = 335026617523200. Its totient is φ = 43417317948480.

The previous prime is 132131042031413. The next prime is 132131042031479. The reversal of 132131042031432 is 234130240131231.

It is a super-2 number, since 2×1321310420314322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132131042031432.

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, 6901119 + ... + 17660337.

It is an arithmetic number, because the mean of its divisors is an integer number (5234790898800).

Almost surely, 2132131042031432 is an apocalyptic number.

132131042031432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132131042031432 is an abundant number, since it is smaller than the sum of its proper divisors (202895575491768).

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

132131042031432 is a wasteful number, since it uses less digits than its factorization.

132131042031432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10766506 (or 10766502 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132131042031432 its reverse (234130240131231), we get a palindrome (366261282162663).

The spelling of 132131042031432 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, forty-two million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 7207 14414 21621 28828 43242 57656 86484 172968 511697 1023394 1535091 2046788 3070182 4093576 6140364 10759219 12280728 21518438 32277657 43036876 64555314 86073752 129110628 258221256 763904549 1527809098 2291713647 3055618196 4583427294 6111236392 9166854588 18333709176 77541691333 155083382666 232625073999 310166765332 465250147998 620333530664 930500295996 1861000591992 5505460084643 11010920169286 16516380253929 22021840338572 33032760507858 44043680677144 66065521015716 132131042031432