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123020793358032 = 243103331658111423
BaseRepresentation
bin11011111110001100000010…
…101100000010011011010000
3121010120200011121102100021010
4123332030002230002123100
5112111033041044424112
61113350550002130520
734624646641106313
oct3376140254023320
9533520147370233
10123020793358032
113621a9097835a9
121196a306950a40
135384a70b0010b
14225434976897a
15e350be5c963c
hex6fe302b026d0

123020793358032 has 160 divisors (see below), whose sum is σ = 321935730794496. Its totient is φ = 40476424665600.

The previous prime is 123020793358019. The next prime is 123020793358049. The reversal of 123020793358032 is 230853397020321.

It is a super-2 number, since 2×1230207933580322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10769563873 + ... + 10769575295.

Almost surely, 2123020793358032 is an apocalyptic number.

123020793358032 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 123020793358032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160967865397248).

123020793358032 is an abundant number, since it is smaller than the sum of its proper divisors (198914937436464).

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

123020793358032 is a wasteful number, since it uses less digits than its factorization.

123020793358032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18449 (or 18443 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 123020793358032 in words is "one hundred twenty-three trillion, twenty billion, seven hundred ninety-three million, three hundred fifty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 331 412 618 662 824 993 1236 1324 1648 1986 2472 2648 3972 4944 5296 6581 7944 11423 13162 15888 19743 22846 26324 34093 34269 39486 45692 52648 68186 68538 78972 91384 102279 105296 136372 137076 157944 182768 204558 272744 274152 315888 409116 545488 548304 677843 818232 1176569 1355686 1636464 2033529 2178311 2353138 2711372 3529707 3781013 4067058 4356622 4706276 5422744 6534933 7059414 7562026 8134116 8713244 9412552 10845488 11343039 13069866 14118828 15124052 16268232 17426488 18825104 22686078 26139732 28237656 30248104 32536464 34852976 45372156 52279464 56475312 60496208 75174763 90744312 104558928 150349526 181488624 224366033 225524289 300699052 389444339 448732066 451048578 601398104 673098099 778888678 897464132 902097156 1168333017 1202796208 1346196198 1557777356 1794928264 1804194312 2336666034 2692392396 3115554712 3589856528 3608388624 4673332068 5384784792 6231109424 7743000589 9346664136 10769569584 15486001178 18693328272 23229001767 24882846553 30972002356 46458003534 49765693106 61944004712 74648539659 92916007068 99531386212 123888009424 149297079318 185832014136 199062772424 298594158636 371664028272 398125544848 597188317272 1194376634544 2562933194959 5125866389918 7688799584877 10251732779836 15377599169754 20503465559672 30755198339508 41006931119344 61510396679016 123020793358032