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31188230316 = 22321078096633
BaseRepresentation
bin11101000010111101…
…101010000010101100
32222111120011020221100
4131002331222002230
51002333141332231
622154440003100
72152605404115
oct350275520254
988446136840
1031188230316
1112254a41061
126064a60490
132c305c8369
14171c19320c
15c280dc1e6
hex742f6a0ac

31188230316 has 36 divisors (see below), whose sum is σ = 79573718952. Its totient is φ = 10298915904.

The previous prime is 31188230303. The next prime is 31188230317. The reversal of 31188230316 is 61303288113.

31188230316 is a `hidden beast` number, since 31 + 1 + 88 + 230 + 316 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×311882303162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31188230317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4044465 + ... + 4052168.

It is an arithmetic number, because the mean of its divisors is an integer number (2210381082).

Almost surely, 231188230316 is an apocalyptic number.

31188230316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31188230316 is an abundant number, since it is smaller than the sum of its proper divisors (48385488636).

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

31188230316 is a wasteful number, since it uses less digits than its factorization.

31188230316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096750 (or 8096745 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 31188230316 in words is "thirty-one billion, one hundred eighty-eight million, two hundred thirty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 8096633 16193266 24289899 32386532 48579798 72869697 97159596 145739394 291478788 866339731 1732679462 2599019193 3465358924 5198038386 7797057579 10396076772 15594115158 31188230316