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131556302761 = 13611433115769
BaseRepresentation
bin111101010000101011…
…1011101111110101001
3110120120101101121122211
41322201113131332221
54123411403142021
6140234112045121
712335042060122
oct1724127357651
9416511347584
10131556302761
115087a115464
12215b5b337a1
13c53744ac40
146520067049
15364e7d03e1
hex1ea15ddfa9

131556302761 has 16 divisors (see below), whose sum is σ = 144100308240. Its totient is φ = 119361438720.

The previous prime is 131556302749. The next prime is 131556302807. The reversal of 131556302761 is 167203655131.

It can be written as a sum of positive squares in 8 ways, for example, as 179051161 + 131377251600 = 13381^2 + 362460^2 .

It is a cyclic number.

It is not a de Polignac number, because 131556302761 - 221 = 131554205609 is a prime.

It is a super-2 number, since 2×1315563027612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131556302711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078485 + ... + 1194253.

It is an arithmetic number, because the mean of its divisors is an integer number (9006269265).

Almost surely, 2131556302761 is an apocalyptic number.

It is an amenable number.

131556302761 is a deficient number, since it is larger than the sum of its proper divisors (12544005479).

131556302761 is a wasteful number, since it uses less digits than its factorization.

131556302761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117276.

The product of its (nonzero) digits is 113400, while the sum is 40.

Adding to 131556302761 its reverse (167203655131), we get a palindrome (298759957892).

The spelling of 131556302761 in words is "one hundred thirty-one billion, five hundred fifty-six million, three hundred two thousand, seven hundred sixty-one".

Divisors: 1 13 61 793 1433 18629 87413 115769 1136369 1504997 7061909 91804817 165896977 2156660701 10119715597 131556302761