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131065240014 = 232591097112501
BaseRepresentation
bin111101000010000011…
…0001101100111001110
3110112022011101001012200
41322010012031213032
54121410200140024
6140113250542330
712316630105242
oct1720406154716
9415264331180
10131065240014
1150647a02785
12214995979a6
13c4897a4a77
1464b4b5a422
1536216302c9
hex1e8418d9ce

131065240014 has 48 divisors (see below), whose sum is σ = 289053638640. Its totient is φ = 42908400000.

The previous prime is 131065240003. The next prime is 131065240043. The reversal of 131065240014 is 410042560131.

It is a happy number.

131065240014 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 652 + 4 + 0 + 0 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131065240014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108764 + ... + 1221264.

It is an arithmetic number, because the mean of its divisors is an integer number (6021950805).

Almost surely, 2131065240014 is an apocalyptic number.

131065240014 is an abundant number, since it is smaller than the sum of its proper divisors (157988398626).

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

131065240014 is a wasteful number, since it uses less digits than its factorization.

131065240014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113665 (or 113662 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 131065240014 in words is "one hundred thirty-one billion, sixty-five million, two hundred forty thousand, fourteen".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 1097 2194 3291 6582 9873 19746 64723 112501 129446 194169 225002 337503 388338 582507 675006 1012509 1165014 2025018 6637559 13275118 19912677 39825354 59738031 119476062 123413597 246827194 370240791 740481582 1110722373 2221444746 7281402223 14562804446 21844206669 43688413338 65532620007 131065240014