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31540500252 = 2234313140233
BaseRepresentation
bin11101010111111101…
…011101011100011100
310000102010000102110000
4131113331131130130
51004043332002002
622253422214300
72164413554142
oct352775353434
9100363012400
1031540500252
1112415876738
126142a24390
132c88597801
141752c91592
15c48ec361c
hex757f5d71c

31540500252 has 60 divisors (see below), whose sum is σ = 85112902336. Its totient is φ = 10174351680.

The previous prime is 31540500217. The next prime is 31540500259. The reversal of 31540500252 is 25200504513.

It is a happy number.

31540500252 is a `hidden beast` number, since 3 + 1 + 5 + 405 + 0 + 0 + 252 = 666.

It is a super-2 number, since 2×315405002522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31540500259) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1560073 + ... + 1580160.

Almost surely, 231540500252 is an apocalyptic number.

It is an amenable number.

31540500252 is an abundant number, since it is smaller than the sum of its proper divisors (53572402084).

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

31540500252 is a wasteful number, since it uses less digits than its factorization.

31540500252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140280 (or 3140269 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 31540500252 in words is "thirty-one billion, five hundred forty million, five hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044 3140233 6280466 9420699 12560932 18841398 28262097 37682796 56524194 84786291 97347223 113048388 169572582 194694446 254358873 292041669 339145164 389388892 508717746 584083338 876125007 1017435492 1168166676 1752250014 2628375021 3504500028 5256750042 7885125063 10513500084 15770250126 31540500252