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131677243021512 = 233217107579446913
BaseRepresentation
bin11101111100001001111111…
…010010111001100011001000
3122021020012222110122211020200
4131330021333102321203020
5114224344443203142022
61144015405040452200
736510236556153126
oct3574117722714310
9567205873584220
10131677243021512
1138a58006959a81
1212927b2231a060
1358621593999c6
1424732d93dc916
1510353620adbac
hex77c27f4b98c8

131677243021512 has 48 divisors (see below), whose sum is σ = 377603858668140. Its totient is φ = 41310507614208.

The previous prime is 131677243021417. The next prime is 131677243021589. The reversal of 131677243021512 is 215120342776131.

131677243021512 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 7 + 72 + 43 + 0 + 21 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126435496877316 + 5241746144196 = 11244354^2 + 2289486^2 .

It is a super-2 number, since 2×1316772430215122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53789722233 + ... + 53789724680.

Almost surely, 2131677243021512 is an apocalyptic number.

131677243021512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131677243021512 is an abundant number, since it is smaller than the sum of its proper divisors (245926615646628).

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

131677243021512 is a wasteful number, since it uses less digits than its factorization.

131677243021512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107579446942 (or 107579446935 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 131677243021512 its reverse (215120342776131), we get a palindrome (346797585797643).

The spelling of 131677243021512 in words is "one hundred thirty-one trillion, six hundred seventy-seven billion, two hundred forty-three million, twenty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 107579446913 215158893826 322738340739 430317787652 645476681478 860635575304 968215022217 1290953362956 1828850597521 1936430044434 2581906725912 3657701195042 3872860088868 5486551792563 7315402390084 7745720177736 10973103585126 14630804780168 16459655377689 21946207170252 32919310755378 43892414340504 65838621510756 131677243021512