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31231031132 = 22729791912549
BaseRepresentation
bin11101000101100000…
…111011011101011100
32222121112200202121202
4131011200323131130
51002430120444012
622203005215032
72153635245620
oct350540733534
988545622552
1031231031132
1112277114a34
126077261478
132c394329a2
141723b35180
15c2bc43cc2
hex74583b75c

31231031132 has 96 divisors (see below), whose sum is σ = 65802240000. Its totient is φ = 12687816960.

The previous prime is 31231031123. The next prime is 31231031179. The reversal of 31231031132 is 23113013213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12250994 + ... + 12253542.

It is an arithmetic number, because the mean of its divisors is an integer number (685440000).

Almost surely, 231231031132 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 31231031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120000).

31231031132 is an abundant number, since it is smaller than the sum of its proper divisors (34571208868).

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

31231031132 is a wasteful number, since it uses less digits than its factorization.

31231031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31231031132 its reverse (23113013213), we get a palindrome (54344044345).

The spelling of 31231031132 in words is "thirty-one billion, two hundred thirty-one million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 79 116 158 191 203 316 382 406 553 764 812 1106 1337 2212 2291 2549 2674 4582 5098 5348 5539 9164 10196 11078 15089 16037 17843 22156 30178 32074 35686 38773 60356 64148 71372 73921 77546 105623 147842 155092 201371 211246 295684 402742 422492 437581 486859 517447 805484 875162 973718 1034894 1409597 1750324 1947436 2069788 2819194 3063067 3408013 5638388 5839759 6126134 6816026 11679518 12252268 13632052 14118911 23359036 28237822 38461861 40878313 56475644 76923722 81756626 98832377 153847444 163513252 197664754 269233027 395329508 538466054 1076932108 1115393969 2230787938 4461575876 7807757783 15615515566 31231031132