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130434303431291 = 19291971201638953
BaseRepresentation
bin11101101010000100011010…
…010100101001001001111011
3122002211101201212112112001212
4131222010122110221021323
5114044013423134300131
61141224405231433335
736321365430025316
oct3552043224511173
9562741655475055
10130434303431291
1138618971965242
121276706038584b
1357a1b95a09862
14242d0a814797d
151012d677cba2b
hex76a11a52927b

130434303431291 has 16 divisors (see below), whose sum is σ = 142754707735200. Its totient is φ = 118702702234368.

The previous prime is 130434303431287. The next prime is 130434303431297. The reversal of 130434303431291 is 192134303434031.

It is a cyclic number.

It is not a de Polignac number, because 130434303431291 - 22 = 130434303431287 is a prime.

It is a super-2 number, since 2×1304343034312912 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130434303431297) 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, 600710930 + ... + 600928023.

It is an arithmetic number, because the mean of its divisors is an integer number (8922169233450).

Almost surely, 2130434303431291 is an apocalyptic number.

130434303431291 is a deficient number, since it is larger than the sum of its proper divisors (12320404303909).

130434303431291 is a wasteful number, since it uses less digits than its factorization.

130434303431291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201639198.

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 130434303431291 in words is "one hundred thirty trillion, four hundred thirty-four billion, three hundred three million, four hundred thirty-one thousand, two hundred ninety-one".

Divisors: 1 19 29 197 551 3743 5713 108547 1201638953 22831140107 34847529637 236722873741 662103063103 4497734601079 6864963338489 130434303431291