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131322010032 = 24323129418013
BaseRepresentation
bin111101001001101100…
…1101101100110110000
3110112222001112022110100
41322103121231212300
54122421413310112
6140154542232400
712326165445003
oct1722331554660
9415861468410
10131322010032
115076993a904
122154b585700
13c4caa47aa5
1464dacb953a
153638e502dc
hex1e9366d9b0

131322010032 has 60 divisors (see below), whose sum is σ = 379374708544. Its totient is φ = 42361937280.

The previous prime is 131322009979. The next prime is 131322010033. The reversal of 131322010032 is 230010223131.

131322010032 is a `hidden beast` number, since 1 + 313 + 220 + 100 + 32 = 666.

131322010032 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131322009987 and 131322010014.

It is not an unprimeable number, because it can be changed into a prime (131322010033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14704543 + ... + 14713470.

Almost surely, 2131322010032 is an apocalyptic number.

131322010032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131322010032 is an abundant number, since it is smaller than the sum of its proper divisors (248052698512).

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

131322010032 is a wasteful number, since it uses less digits than its factorization.

131322010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29418058 (or 29418049 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131322010032 its reverse (230010223131), we get a palindrome (361332233163).

The spelling of 131322010032 in words is "one hundred thirty-one billion, three hundred twenty-two million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 29418013 58836026 88254039 117672052 176508078 235344104 264762117 353016156 470688208 529524234 706032312 911958403 1059048468 1412064624 1823916806 2118096936 2735875209 3647833612 4236193872 5471750418 7295667224 8207625627 10943500836 14591334448 16415251254 21887001672 32830502508 43774003344 65661005016 131322010032