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232013103303312 = 243253239127196819
BaseRepresentation
bin110100110000001111000010…
…100110110000101010010000
31010102111020101002100102222200
4310300033002212300222100
5220402300313421201222
62141241203115003200
766604251662530422
oct6460170246605220
91112436332312880
10232013103303312
1167a21228277981
122203183aa39500
139c5c9848633b6
1441416cbbda812
151bc52d73a0eac
hexd303c29b0a90

232013103303312 has 120 divisors (see below), whose sum is σ = 664333727241600. Its totient is φ = 75561015339264.

The previous prime is 232013103303301. The next prime is 232013103303349. The reversal of 232013103303312 is 213303301310232.

232013103303312 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 1 + 3 + 10 + 330 + 3 + 312 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61774362 + ... + 65422457.

It is an arithmetic number, because the mean of its divisors is an integer number (5536114393680).

Almost surely, 2232013103303312 is an apocalyptic number.

It is an amenable number.

232013103303312 is an abundant number, since it is smaller than the sum of its proper divisors (432320623938288).

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

232013103303312 is a wasteful number, since it uses less digits than its factorization.

232013103303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127197125 (or 127197116 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 232013103303312 its reverse (213303301310232), we get a palindrome (445316404613544).

The spelling of 232013103303312 in words is "two hundred thirty-two trillion, thirteen billion, one hundred three million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 239 318 424 477 478 636 717 848 954 956 1272 1434 1908 1912 2151 2544 2868 3816 3824 4302 5736 7632 8604 11472 12667 17208 25334 34416 38001 50668 76002 101336 114003 152004 202672 228006 304008 456012 608016 912024 1824048 127196819 254393638 381590457 508787276 763180914 1017574552 1144771371 1526361828 2035149104 2289542742 3052723656 4579085484 6105447312 6741431407 9158170968 13482862814 18316341936 20224294221 26965725628 30400039741 40448588442 53931451256 60672882663 60800079482 80897176884 91200119223 107862902512 121345765326 121600158964 161794353768 182400238446 242691530652 243200317928 273600357669 323588707536 364800476892 485383061304 486400635856 547200715338 729600953784 970766122608 1094401430676 1459201907568 1611202106273 2188802861352 3222404212546 4377605722704 4833606318819 6444808425092 9667212637638 12889616850184 14500818956457 19334425275276 25779233700368 29001637912914 38668850550552 58003275825828 77337701101104 116006551651656 232013103303312