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123313178196 = 223413283103451
BaseRepresentation
bin111001011011000001…
…0011100011001010100
3102210021220111111120000
41302312002130121110
54010021133200241
6132352125211300
711623546502025
oct1626602343124
9383256444500
10123313178196
114832a08aa1a
121ba95400b30
13b822731a40
145d7b392c4c
15331acaceb6
hex1cb609c654

123313178196 has 120 divisors (see below), whose sum is σ = 348392403744. Its totient is φ = 37808078400.

The previous prime is 123313178161. The next prime is 123313178231. The reversal of 123313178196 is 691871313321.

It is an interprime number because it is at equal distance from previous prime (123313178161) and next prime (123313178231).

It is a super-2 number, since 2×1233131781962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140271 + ... + 1243721.

Almost surely, 2123313178196 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 123313178196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174196201872).

123313178196 is an abundant number, since it is smaller than the sum of its proper divisors (225079225548).

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

123313178196 is a wasteful number, since it uses less digits than its factorization.

123313178196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103763 (or 103752 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 123313178196 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred seventy-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 283 324 351 468 566 702 849 1053 1132 1404 1698 2106 2547 3396 3679 4212 5094 7358 7641 10188 11037 14716 15282 22074 22923 30564 33111 44148 45846 66222 91692 99333 103451 132444 198666 206902 297999 310353 397332 413804 595998 620706 931059 1191996 1241412 1344863 1862118 2689726 2793177 3724236 4034589 5379452 5586354 8069178 8379531 11172708 12103767 16138356 16759062 24207534 29276633 33518124 36311301 48415068 58553266 72622602 87829899 108933903 117106532 145245204 175659798 217867806 263489697 351319596 380596229 435735612 526979394 761192458 790469091 1053958788 1141788687 1522384916 1580938182 2283577374 2371407273 3161876364 3425366061 4567154748 4742814546 6850732122 9485629092 10276098183 13701464244 20552196366 30828294549 41104392732 61656589098 123313178196