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130479155961 = 37113171353727
BaseRepresentation
bin111100110000100101…
…0011110101011111001
3110110210022112220000220
41321201022132223321
54114210130442321
6135535153050253
712266252345340
oct1714112365371
9413708486026
10130479155961
115037709a0a0
1221355256989
13c3c523c27b
14645ad96b57
1535d9e609c6
hex1e6129eaf9

130479155961 has 128 divisors (see below), whose sum is σ = 228007084032. Its totient is φ = 64399104000.

The previous prime is 130479155927. The next prime is 130479156001. The reversal of 130479155961 is 169551974031.

It is not a de Polignac number, because 130479155961 - 213 = 130479147769 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (130479156961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179475780 + ... + 179476506.

It is an arithmetic number, because the mean of its divisors is an integer number (1781305344).

Almost surely, 2130479155961 is an apocalyptic number.

130479155961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130479155961 is a deficient number, since it is larger than the sum of its proper divisors (97527928071).

130479155961 is a wasteful number, since it uses less digits than its factorization.

130479155961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 130479155961 in words is "one hundred thirty billion, four hundred seventy-nine million, one hundred fifty-five thousand, nine hundred sixty-one".

Divisors: 1 3 7 11 21 31 33 71 77 93 213 217 231 341 353 497 651 727 781 1023 1059 1491 2181 2201 2343 2387 2471 3883 5089 5467 6603 7161 7413 7997 10943 11649 15267 15407 16401 22537 23991 24211 25063 27181 32829 46221 51617 55979 67611 72633 75189 76601 81543 120373 154851 157759 167937 169477 175441 229803 247907 256631 275693 361119 361319 473277 508431 526323 567787 743721 769893 776953 827079 842611 1083957 1600127 1703361 1735349 1796417 1929851 2330859 2527833 2822941 3974509 4800381 5206047 5389251 5438671 5789553 7955561 8468823 8546483 11200889 11923527 16316013 17601397 18220801 19760587 23866683 25639449 33602667 52804191 54662403 55688927 59281761 59825381 87511171 123209779 127545607 167066781 179476143 200428811 262533513 369629337 382636821 564844831 601286433 612578197 1403001677 1694534493 1837734591 3953913817 4209005031 6213293141 11861741451 18639879423 43493051987 130479155961