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133112122104 = 233132961923767
BaseRepresentation
bin111101111111000011…
…0011100101011111000
3110201120210221102120110
41323332012130223320
54140103200401404
6141052330424320
712421433240433
oct1737606345370
9421523842513
10133112122104
11514a8360575
122196ab920a0
13c7248852c0
14662a93a81a
1536e11a3b89
hex1efe19caf8

133112122104 has 128 divisors (see below), whose sum is σ = 371351232000. Its totient is φ = 39479698944.

The previous prime is 133112122079. The next prime is 133112122111. The reversal of 133112122104 is 401221211331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588829 + ... + 5612595.

It is an arithmetic number, because the mean of its divisors is an integer number (2901181500).

Almost surely, 2133112122104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133112122104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185675616000).

133112122104 is an abundant number, since it is smaller than the sum of its proper divisors (238239109896).

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

133112122104 is a wasteful number, since it uses less digits than its factorization.

133112122104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24437 (or 24433 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 133112122104 its reverse (401221211331), we get a palindrome (534333333435).

The spelling of 133112122104 in words is "one hundred thirty-three billion, one hundred twelve million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 619 696 754 1131 1238 1508 1857 2262 2476 3016 3714 4524 4952 7428 8047 9048 14856 16094 17951 23767 24141 32188 35902 47534 48282 53853 64376 71301 71804 95068 96564 107706 142602 143608 190136 193128 215412 233363 285204 308971 430824 466726 570408 617942 689243 700089 926913 933452 1235884 1378486 1400178 1853826 1866904 2067729 2471768 2756972 2800356 3707652 4135458 5513944 5600712 7415304 8270916 8960159 14711773 16541832 17920318 26880477 29423546 35840636 44135319 53760954 58847092 71681272 88270638 107521908 117694184 176541276 191253049 215043816 353082552 382506098 426641417 573759147 765012196 853282834 1147518294 1279924251 1530024392 1706565668 2295036588 2559848502 3413131336 4590073176 5119697004 5546338421 10239394008 11092676842 16639015263 22185353684 33278030526 44370707368 66556061052 133112122104