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131141124033441 = 31712153592115749
BaseRepresentation
bin11101110100010110101100…
…000111010000101110100001
3122012022222011102012102000020
4131310112230013100232201
5114142104010223032231
61142525222314144053
736423430210021314
oct3564265407205641
9565288142172006
10131141124033441
1138870702747215
1212860041122029
13582372a259952
14245539b22a97b
151026435563396
hex7745ac1d0ba1

131141124033441 has 16 divisors (see below), whose sum is σ = 185140650240000. Its totient is φ = 82284520249088.

The previous prime is 131141124033433. The next prime is 131141124033449. The reversal of 131141124033441 is 144330421141131.

It is an interprime number because it is at equal distance from previous prime (131141124033433) and next prime (131141124033449).

It is a cyclic number.

It is not a de Polignac number, because 131141124033441 - 23 = 131141124033433 is a prime.

It is a super-3 number, since 3×1311411240334413 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131141124033449) 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, 60925435 + ... + 63041183.

It is an arithmetic number, because the mean of its divisors is an integer number (11571290640000).

Almost surely, 2131141124033441 is an apocalyptic number.

It is an amenable number.

131141124033441 is a deficient number, since it is larger than the sum of its proper divisors (53999526206559).

131141124033441 is a wasteful number, since it uses less digits than its factorization.

131141124033441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331128.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 131141124033441 its reverse (144330421141131), we get a palindrome (275471545174572).

The spelling of 131141124033441 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-four million, thirty-three thousand, four hundred forty-one".

Divisors: 1 3 17 51 1215359 2115749 3646077 6347247 20661103 35967733 61983309 107903199 2571394588891 7714183766673 43713708011147 131141124033441