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123057071088 = 24371923382729
BaseRepresentation
bin111001010011011000…
…1011110001111110000
3102202122001120220122120
41302212301132033300
54004010102233323
6132310500034240
711614316563050
oct1624661361760
9382561526576
10123057071088
1148208565956
121ba23692980
13b7b1661683
145d55367560
15330356e5e3
hex1ca6c5e3f0

123057071088 has 160 divisors (see below), whose sum is σ = 384078988800. Its totient is φ = 33165324288.

The previous prime is 123057071023. The next prime is 123057071129. The reversal of 123057071088 is 880170750321.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1446108 + ... + 1528836.

It is an arithmetic number, because the mean of its divisors is an integer number (2400493680).

Almost surely, 2123057071088 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 123057071088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192039494400).

123057071088 is an abundant number, since it is smaller than the sum of its proper divisors (261021917712).

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

123057071088 is a wasteful number, since it uses less digits than its factorization.

123057071088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82999 (or 82993 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 123057071088 in words is "one hundred twenty-three billion, fifty-seven million, seventy-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 233 266 304 336 399 456 466 532 699 798 912 932 1064 1398 1596 1631 1864 2128 2796 3192 3262 3728 4427 4893 5592 6384 6524 8854 9786 11184 13048 13281 17708 19572 26096 26562 30989 35416 39144 53124 61978 70832 78288 82729 92967 106248 123956 165458 185934 212496 247912 248187 330916 371868 495824 496374 579103 661832 743736 992748 1158206 1323664 1487472 1571851 1737309 1985496 2316412 3143702 3474618 3970992 4632824 4715553 6287404 6949236 9265648 9431106 11002957 12574808 13898472 18862212 19275857 22005914 25149616 27796944 33008871 37724424 38551714 44011828 57827571 66017742 75448848 77103428 88023656 115655142 132035484 134930999 154206856 176047312 231310284 264070968 269861998 308413712 366241283 404792997 462620568 528141936 539723996 732482566 809585994 925241136 1079447992 1098723849 1464965132 1619171988 2158895984 2197447698 2563688981 2929930264 3238343976 4394895396 5127377962 5859860528 6476687952 7691066943 8789790792 10254755924 15382133886 17579581584 20509511848 30764267772 41019023696 61528535544 123057071088