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131121153545013 = 3214569017060557
BaseRepresentation
bin11101110100000100000101…
…110001111001001100110101
3122012021001121122012111000200
4131310010011301321030311
5114141242110301420023
61142512120521231113
736422122263460062
oct3564040561711465
9565231548174020
10131121153545013
1138863194944725
12128581a9032499
135821896a158a8
142454424c27c69
151025b671c6743
hex774105c79335

131121153545013 has 6 divisors (see below), whose sum is σ = 189397221787254. Its totient is φ = 87414102363336.

The previous prime is 131121153544993. The next prime is 131121153545033. The reversal of 131121153545013 is 310545351121131.

131121153545013 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 115 + 35 + 4 + 501 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (131121153544993) and next prime (131121153545033).

It can be written as a sum of positive squares in only one way, i.e., 106006442259249 + 25114711285764 = 10295943^2 + 5011458^2 .

It is a de Polignac number, because none of the positive numbers 2k-131121153545013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121153545033) 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 5 ways as a sum of consecutive naturals, for example, 7284508530270 + ... + 7284508530287.

It is an arithmetic number, because the mean of its divisors is an integer number (31566203631209).

Almost surely, 2131121153545013 is an apocalyptic number.

It is an amenable number.

131121153545013 is a deficient number, since it is larger than the sum of its proper divisors (58276068242241).

131121153545013 is a wasteful number, since it uses less digits than its factorization.

131121153545013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569017060563 (or 14569017060560 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 131121153545013 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, one hundred fifty-three million, five hundred forty-five thousand, thirteen".

Divisors: 1 3 9 14569017060557 43707051181671 131121153545013