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130871508868191 = 3731321783422077
BaseRepresentation
bin11101110000011011100101…
…110011000001110001011111
3122011101012020110200220200010
4131300123211303001301133
5114123144322232240231
61142201312521334303
736365103663645000
oct3560334563016137
9564335213626603
10130871508868191
1138777327a40aa3
1212817937637393
135804190454b00
1424463016ab1a7
15101e405698546
hex7706e5cc1c5f

130871508868191 has 96 divisors (see below), whose sum is σ = 220474638105600. Its totient is φ = 68992245818496.

The previous prime is 130871508868099. The next prime is 130871508868201. The reversal of 130871508868191 is 191868805178031.

It is not a de Polignac number, because 130871508868191 - 211 = 130871508866143 is a prime.

It is a super-2 number, since 2×1308715088681912 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130871508868091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309854445 + ... + 310276521.

It is an arithmetic number, because the mean of its divisors is an integer number (2296610813600).

Almost surely, 2130871508868191 is an apocalyptic number.

130871508868191 is a deficient number, since it is larger than the sum of its proper divisors (89603129237409).

130871508868191 is a wasteful number, since it uses less digits than its factorization.

130871508868191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423910 (or 423883 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 66.

The spelling of 130871508868191 in words is "one hundred thirty trillion, eight hundred seventy-one billion, five hundred eight million, eight hundred sixty-eight thousand, one hundred ninety-one".

Divisors: 1 3 7 13 21 39 49 91 147 169 273 343 507 637 1029 1183 1783 1911 3549 4459 5349 8281 12481 13377 23179 24843 37443 57967 69537 87367 162253 173901 262101 301327 422077 486759 611569 903981 1135771 1266231 1834707 2109289 2954539 3407313 5487001 6327867 7950397 8863617 14765023 16461003 20681773 23851191 38409007 44295069 62045319 71331013 103355161 115227021 144772411 213993039 268863049 310065483 434317233 499317091 752563291 806589147 1497951273 1882041343 2257689873 3495219637 5267943037 5646124029 9783322783 10485658911 15803829111 24466537459 29349968349 36875601259 68483259481 73399612377 110626803777 127183196179 205449778443 258129208813 381549588537 479382816367 774387626439 890282373253 1438148449101 2670847119759 3355679714569 6231976612771 10067039143707 18695929838313 43623836289397 130871508868191