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123085028100 = 22352971422537
BaseRepresentation
bin111001010100001110…
…0000111101100000100
3102202201000012021110110
41302220130013230010
54004034231344400
6132313335153020
711615106322266
oct1625034075404
9382630167413
10123085028100
1148222320421
121ba30b15770
13b7b739c798
145d58d63b36
153305c42e50
hex1ca8707b04

123085028100 has 72 divisors (see below), whose sum is σ = 356493620448. Its totient is φ = 32788793600.

The previous prime is 123085028093. The next prime is 123085028111. The reversal of 123085028100 is 1820580321.

It is a super-2 number, since 2×1230850281002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80032 + ... + 502568.

It is an arithmetic number, because the mean of its divisors is an integer number (4951300284).

Almost surely, 2123085028100 is an apocalyptic number.

123085028100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123085028100 is an abundant number, since it is smaller than the sum of its proper divisors (233408592348).

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

123085028100 is a wasteful number, since it uses less digits than its factorization.

123085028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423525 (or 423518 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 123085028100 in words is "one hundred twenty-three billion, eighty-five million, twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 971 1942 2913 3884 4855 5826 9710 11652 14565 19420 24275 29130 48550 58260 72825 97100 145650 291300 422537 845074 1267611 1690148 2112685 2535222 4225370 5070444 6338055 8450740 10563425 12676110 21126850 25352220 31690275 42253700 63380550 126761100 410283427 820566854 1230850281 1641133708 2051417135 2461700562 4102834270 4923401124 6154251405 8205668540 10257085675 12308502810 20514171350 24617005620 30771257025 41028342700 61542514050 123085028100