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31031009136 = 2432798930649
BaseRepresentation
bin11100111001100101…
…111001111101110000
32222002121022121000200
4130321211321331300
51002022414243021
622131102115200
72145656140251
oct347145717560
988077277020
1031031009136
11121842174a6
12602027bb00
132c06b6b68a
141705348b28
15c193d3126
hex739979f70

31031009136 has 120 divisors (see below), whose sum is σ = 88934040000. Its totient is φ = 10097657856.

The previous prime is 31031009129. The next prime is 31031009137. The reversal of 31031009136 is 63190013013.

31031009136 is a `hidden beast` number, since 310 + 310 + 0 + 9 + 1 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31031009137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997140 + ... + 1027788.

It is an arithmetic number, because the mean of its divisors is an integer number (741117000).

Almost surely, 231031009136 is an apocalyptic number.

31031009136 is a gapful number since it is divisible by the number (36) 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 31031009136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44467020000).

31031009136 is an abundant number, since it is smaller than the sum of its proper divisors (57903030864).

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

31031009136 is a wasteful number, since it uses less digits than its factorization.

31031009136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30831 (or 30822 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 31031009136 in words is "thirty-one billion, thirty-one million, nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 89 144 158 178 237 267 316 356 474 534 632 711 712 801 948 1068 1264 1422 1424 1602 1896 2136 2844 3204 3792 4272 5688 6408 7031 11376 12816 14062 21093 28124 30649 42186 56248 61298 63279 84372 91947 112496 122596 126558 168744 183894 245192 253116 275841 337488 367788 490384 506232 551682 735576 1012464 1103364 1471152 2206728 2421271 2727761 4413456 4842542 5455522 7263813 8183283 9685084 10911044 14527626 16366566 19370168 21791439 21822088 24549849 29055252 32733132 38740336 43582878 43644176 49099698 58110504 65466264 87165756 98199396 116221008 130932528 174331512 196398792 215493119 348663024 392797584 430986238 646479357 861972476 1292958714 1723944952 1939438071 2585917428 3447889904 3878876142 5171834856 7757752284 10343669712 15515504568 31031009136