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131636061441 = 37101595943
BaseRepresentation
bin111101010011000011…
…1101110010100000001
3110120202221110210000000
41322212013232110001
54124042312431231
6140250041350213
712340031026533
oct1724607562401
9416687423000
10131636061441
1150910141325
1221618798369
13c54ab25521
14652a8a9853
1536567d76e6
hex1ea61ee501

131636061441 has 32 divisors (see below), whose sum is σ = 199379024640. Its totient is φ = 86888343600.

The previous prime is 131636061353. The next prime is 131636061443. The reversal of 131636061441 is 144160636131.

131636061441 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 3 + 606 + 1 + 4 + 41 = 666.

It is not a de Polignac number, because 131636061441 - 215 = 131636028673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131636061396 and 131636061405.

It is not an unprimeable number, because it can be changed into a prime (131636061443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77085 + ... + 518858.

It is an arithmetic number, because the mean of its divisors is an integer number (6230594520).

Almost surely, 2131636061441 is an apocalyptic number.

It is an amenable number.

131636061441 is a deficient number, since it is larger than the sum of its proper divisors (67742963199).

131636061441 is an frugal number, since it uses more digits than its factorization.

131636061441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596065 (or 596047 counting only the distinct ones).

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

Adding to 131636061441 its reverse (144160636131), we get a palindrome (275796697572).

The spelling of 131636061441 in words is "one hundred thirty-one billion, six hundred thirty-six million, sixty-one thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 101 243 303 729 909 2187 2727 8181 24543 73629 220887 595943 1787829 5363487 16090461 48271383 60190243 144814149 180570729 434442447 541712187 1303327341 1625136561 4875409683 14626229049 43878687147 131636061441