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123351011355432 = 23375395314536661
BaseRepresentation
bin11100000010111111100101…
…001101101110101100101000
3121011202020112001211200121010
4130002333211031232230220
5112131440332401333212
61114202401115543520
734660550023553520
oct3402774515565450
9534666461750533
10123351011355432
1136337963179573
1211a0230415aba0
1353a9c4820cb53
142266313c60680
15e3d999ac403c
hex702fe536eb28

123351011355432 has 128 divisors (see below), whose sum is σ = 359457926204160. Its totient is φ = 34541895198720.

The previous prime is 123351011355419. The next prime is 123351011355437. The reversal of 123351011355432 is 234553110153321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123351011355437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217182 + ... + 15753842.

It is an arithmetic number, because the mean of its divisors is an integer number (2808265048470).

Almost surely, 2123351011355432 is an apocalyptic number.

123351011355432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123351011355432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179728963102080).

123351011355432 is an abundant number, since it is smaller than the sum of its proper divisors (236106914848728).

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

123351011355432 is a wasteful number, since it uses less digits than its factorization.

123351011355432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14537683 (or 14537679 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 123351011355432 in words is "one hundred twenty-three trillion, three hundred fifty-one billion, eleven million, three hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 953 1113 1272 1484 1906 2226 2859 2968 3812 4452 5718 6671 7624 8904 11436 13342 20013 22872 26684 40026 50509 53368 80052 101018 151527 160104 202036 303054 353563 404072 606108 707126 1060689 1212216 1414252 2121378 2828504 4242756 8485512 14536661 29073322 43609983 58146644 87219966 101756627 116293288 174439932 203513254 305269881 348879864 407026508 610539762 770443033 814053016 1221079524 1540886066 2311329099 2442159048 3081772132 4622658198 5393101231 6163544264 9245316396 10786202462 13853437933 16179303693 18490632792 21572404924 27706875866 32358607386 41560313799 43144809848 55413751732 64717214772 83120627598 96974065531 110827503464 129434429544 166241255196 193948131062 290922196593 332482510392 387896262124 581844393186 734232210449 775792524248 1163688786372 1468464420898 2202696631347 2327377572744 2936928841796 4405393262694 5139625473143 5873857683592 8810786525388 10279250946286 15418876419429 17621573050776 20558501892572 30837752838858 41117003785144 61675505677716 123351011355432