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130257643131 = 3471120884663
BaseRepresentation
bin111100101001111110…
…1011110011001111011
3110110012212201212120000
41321103331132121323
54113231424040011
6135501201204043
712260622461340
oct1712375363173
9413185655500
10130257643131
1150273053240
12212b3030623
13c38b3920a5
1464397b47c7
1535c57a7356
hex1e53f5e67b

130257643131 has 40 divisors (see below), whose sum is σ = 242596257024. Its totient is φ = 67666304880.

The previous prime is 130257643121. The next prime is 130257643163. The reversal of 130257643131 is 131346752031.

130257643131 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 5 + 7 + 643 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 130257643131 - 213 = 130257634939 is a prime.

It is a super-2 number, since 2×1302576431312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130257643121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10436095 + ... + 10448568.

Almost surely, 2130257643131 is an apocalyptic number.

130257643131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130257643131 is a deficient number, since it is larger than the sum of its proper divisors (112338613893).

130257643131 is a wasteful number, since it uses less digits than its factorization.

130257643131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20884693 (or 20884684 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 130257643131 in words is "one hundred thirty billion, two hundred fifty-seven million, six hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 2079 6237 20884663 62653989 146192641 187961967 229731293 438577923 563885901 689193879 1315733769 1608119051 1691657703 2067581637 3947201307 4824357153 6202744911 11841603921 14473071459 18608234733 43419214377 130257643131