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131403265092 = 223411971492551
BaseRepresentation
bin111101001100000111…
…1101011010001000100
3110120011201102111110000
41322120033223101010
54123103213440332
6140211004001300
712331203216141
oct1723017532104
9416151374400
10131403265092
1150800798a50
1221572830230
13c5118274c8
1465079cb3c8
153641150b7c
hex1e983eb444

131403265092 has 240 divisors, whose sum is σ = 381296361600. Its totient is φ = 39128832000.

The previous prime is 131403265079. The next prime is 131403265151. The reversal of 131403265092 is 290562304131.

131403265092 is a `hidden beast` number, since 1 + 3 + 140 + 3 + 2 + 6 + 509 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51509217 + ... + 51511767.

It is an arithmetic number, because the mean of its divisors is an integer number (1588734840).

Almost surely, 2131403265092 is an apocalyptic number.

131403265092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403265092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190648180800).

131403265092 is an abundant number, since it is smaller than the sum of its proper divisors (249893096508).

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

131403265092 is a wasteful number, since it uses less digits than its factorization.

131403265092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 131403 and 265092, that added together give a triangular number (396495 = T890).

The spelling of 131403265092 in words is "one hundred thirty-one billion, four hundred three million, two hundred sixty-five thousand, ninety-two".