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131141403411133 = 1817024910313857
BaseRepresentation
bin11101110100010110111100…
…110001000000001010111101
3122012022222212212220021011011
4131310112330301000022331
5114142110043233124013
61142525310134155221
736423440141500453
oct3564267461001275
9565288785807134
10131141403411133
1138870836415875
12128600ba7b2b11
1358237730b6cab
1424553c63929d3
15102644ed4bc3d
hex7745bcc402bd

131141403411133 has 8 divisors (see below), whose sum is σ = 131867831459000. Its totient is φ = 130414996131840.

The previous prime is 131141403411047. The next prime is 131141403411167. The reversal of 131141403411133 is 331114304141131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17187102107289 + 113954301303844 = 4145733^2 + 10674938^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131141403411133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131141403411095 and 131141403411104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141403411173) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7558141 + ... + 17871997.

It is an arithmetic number, because the mean of its divisors is an integer number (16483478932375).

Almost surely, 2131141403411133 is an apocalyptic number.

It is an amenable number.

131141403411133 is a deficient number, since it is larger than the sum of its proper divisors (726428047867).

131141403411133 is a wasteful number, since it uses less digits than its factorization.

131141403411133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10384287.

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 131141403411133 its reverse (331114304141131), we get a palindrome (462255707552264).

The spelling of 131141403411133 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred three million, four hundred eleven thousand, one hundred thirty-three".

Divisors: 1 181 70249 10313857 12715069 1866808117 724538140393 131141403411133