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130012133199 = 313411972711523
BaseRepresentation
bin111100100010101010…
…0111011011101001111
3110102120202202200020120
41321011110323131033
54112231101230244
6135420551120023
712251551620054
oct1710524733517
9412522680216
10130012133199
1150157506a73
1221244973013
13c34c562340
146414d4702b
1535ade5d819
hex1e4553b74f

130012133199 has 64 divisors (see below), whose sum is σ = 193044031488. Its totient is φ = 77322470400.

The previous prime is 130012133177. The next prime is 130012133309. The reversal of 130012133199 is 991331210031.

It is a de Polignac number, because none of the positive numbers 2k-130012133199 is a prime.

It is a super-3 number, since 3×1300121331993 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012133159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85365052 + ... + 85366574.

It is an arithmetic number, because the mean of its divisors is an integer number (3016312992).

Almost surely, 2130012133199 is an apocalyptic number.

130012133199 is a deficient number, since it is larger than the sum of its proper divisors (63031898289).

130012133199 is a wasteful number, since it uses less digits than its factorization.

130012133199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048.

The product of its (nonzero) digits is 4374, while the sum is 33.

The spelling of 130012133199 in words is "one hundred thirty billion, twelve million, one hundred thirty-three thousand, one hundred ninety-nine".

Divisors: 1 3 13 39 41 123 197 271 533 591 813 1523 1599 2561 3523 4569 7683 8077 10569 11111 19799 24231 33333 53387 59397 62443 105001 144443 160161 187329 300031 315003 412733 433329 694031 811759 900093 1238199 2082093 2188867 2435277 3900403 5365529 6566601 11701209 12301271 16096587 16922053 28455271 36903813 50766159 81308401 85365813 159916523 219986689 243925203 479749569 659960067 1057009213 3171027639 3333644441 10000933323 43337377733 130012133199