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131329645650 = 2345272661777
BaseRepresentation
bin111101001001111011…
…0110101110001010010
3110112222120220020120000
41322103312311301102
54122430342130100
6140155414030430
712326320366200
oct1722366656122
9415876806500
10131329645650
1150773185635
1221552048416
13c4cc4bc3c8
1464dbd06070
15363995c900
hex1e93db5c52

131329645650 has 180 divisors, whose sum is σ = 424478306538. Its totient is φ = 30018159360.

The previous prime is 131329645627. The next prime is 131329645661. The reversal of 131329645650 is 56546923131.

131329645650 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 29 + 64 + 565 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 94480620129 + 36849025521 = 307377^2 + 191961^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 131329645596 and 131329645605.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 132439 + ... + 529338.

Almost surely, 2131329645650 is an apocalyptic number.

131329645650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131329645650 is an abundant number, since it is smaller than the sum of its proper divisors (293148660888).

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

131329645650 is a wasteful number, since it uses less digits than its factorization.

131329645650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661815 (or 661794 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 131329645650 in words is "one hundred thirty-one billion, three hundred twenty-nine million, six hundred forty-five thousand, six hundred fifty".