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133103212212312 = 23332321164874433
BaseRepresentation
bin11110010000111010000001…
…101011101011000001011000
3122110021112122201021012101000
4132100322001223223001120
5114421230334311243222
61151030434353225000
740015250452246536
oct3620720153530130
9573245581235330
10133103212212312
1139457834333721
1212b18364562160
13593676b24ab64
1424c233099d156
15105c4c00389ac
hex790e81aeb058

133103212212312 has 96 divisors (see below), whose sum is σ = 386505337201200. Its totient is φ = 42438705306624.

The previous prime is 133103212212301. The next prime is 133103212212317. The reversal of 133103212212312 is 213212212301331.

133103212212312 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 321 + 2 + 21 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103212212317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582322953 + ... + 582551480.

Almost surely, 2133103212212312 is an apocalyptic number.

133103212212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133103212212312 is an abundant number, since it is smaller than the sum of its proper divisors (253402124988888).

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

133103212212312 is a wasteful number, since it uses less digits than its factorization.

133103212212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164874494 (or 1164874461 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133103212212312 its reverse (213212212301331), we get a palindrome (346315424513643).

The spelling of 133103212212312 in words is "one hundred thirty-three trillion, one hundred three billion, two hundred twelve million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 529 552 621 828 1058 1242 1587 1656 2116 2484 3174 4232 4761 4968 6348 9522 12696 14283 19044 28566 38088 57132 114264 1164874433 2329748866 3494623299 4659497732 6989246598 9318995464 10483869897 13978493196 20967739794 26792111959 27956986392 31451609691 41935479588 53584223918 62903219382 80376335877 83870959176 107168447836 125806438764 160752671754 214336895672 241129007631 251612877528 321505343508 482258015262 616218575057 643010687016 723387022893 964516030524 1232437150114 1446774045786 1848655725171 1929032061048 2464874300228 2893548091572 3697311450342 4929748600456 5545967175513 5787096183144 7394622900684 11091934351026 14789245801368 16637901526539 22183868702052 33275803053078 44367737404104 66551606106156 133103212212312