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13310023120312 = 231953113127115127
BaseRepresentation
bin1100000110101111101100…
…1100110011010110111000
31202010102111101200211020211
43001223323030303112320
53221032411404322222
644150312404000504
72542421531552122
oct301537314632670
952112441624224
1013310023120312
1142718270726a6
1215ab6a3990134
1375718c20ac39
143402cc3c8212
15181356c6e277
hexc1afb3335b8

13310023120312 has 128 divisors (see below), whose sum is σ = 27215153971200. Its totient is φ = 6082719971328.

The previous prime is 13310023120283. The next prime is 13310023120343. The reversal of 13310023120312 is 21302132001331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115554093 + ... + 115669219.

It is an arithmetic number, because the mean of its divisors is an integer number (212618390400).

Almost surely, 213310023120312 is an apocalyptic number.

It is an amenable number.

13310023120312 is an abundant number, since it is smaller than the sum of its proper divisors (13905130850888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13310023120312 is a wasteful number, since it uses less digits than its factorization.

13310023120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115445 (or 115441 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13310023120312 its reverse (21302132001331), we get a palindrome (34612155121643).

The spelling of 13310023120312 in words is "thirteen trillion, three hundred ten billion, twenty-three million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 19 38 53 76 106 113 127 152 212 226 254 424 452 508 904 1007 1016 2014 2147 2413 4028 4294 4826 5989 6731 8056 8588 9652 11978 13462 14351 17176 19304 23956 26924 28702 47912 53848 57404 113791 114808 115127 127889 227582 230254 255778 272669 455164 460508 511556 545338 760603 910328 921016 1023112 1090676 1521206 2181352 2187413 3042412 4374826 6084824 6101731 8749652 12203462 13009351 14451457 14621129 17499304 24406924 26018702 28902914 29242258 48813848 52037404 57805828 58484516 104074808 115611656 115932889 116969032 231865778 247177669 277801451 463731556 494355338 555602902 689495603 774919837 927463112 988710676 1111205804 1378991206 1549839674 1652187577 1977421352 2222411608 2757982412 3099679348 3304375154 5515964824 6199358696 6608750308 13100416457 13217500616 14723476903 26200832914 29446953806 31391563963 52401665828 58893907612 62783127926 87565941581 104803331656 117787815224 125566255852 175131883162 251132511704 350263766324 700527532648 1663752890039 3327505780078 6655011560156 13310023120312