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131323002984 = 23325233487439
BaseRepresentation
bin111101001001101110…
…1100000000001101000
3110112222010101202112100
41322103131200001220
54122422142043414
6140155015413400
712326210051625
oct1722335400150
9415863352470
10131323002984
115076a458928
122154b984260
13c4cb004a34
1464db09734c
153639099609
hex1e93760068

131323002984 has 48 divisors (see below), whose sum is σ = 356346619200. Its totient is φ = 43690623264.

The previous prime is 131323002971. The next prime is 131323002989. The reversal of 131323002984 is 489200323131.

131323002984 is a `hidden beast` number, since 1 + 31 + 32 + 300 + 298 + 4 = 666.

It is a super-2 number, since 2×1313230029842 (a number of 23 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 (131323002989) 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, 1706064 + ... + 1781375.

It is an arithmetic number, because the mean of its divisors is an integer number (7423887900).

Almost surely, 2131323002984 is an apocalyptic number.

It is an amenable number.

131323002984 is an abundant number, since it is smaller than the sum of its proper divisors (225023616216).

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

131323002984 is a wasteful number, since it uses less digits than its factorization.

131323002984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487974 (or 3487967 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 131323002984 in words is "one hundred thirty-one billion, three hundred twenty-three million, two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 523 1046 1569 2092 3138 4184 4707 6276 9414 12552 18828 37656 3487439 6974878 10462317 13949756 20924634 27899512 31386951 41849268 62773902 83698536 125547804 251095608 1823930597 3647861194 5471791791 7295722388 10943583582 14591444776 16415375373 21887167164 32830750746 43774334328 65661501492 131323002984