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102150021567200 = 2552294403018171
BaseRepresentation
bin10111001110011110100111…
…101111111101001011100000
3111101200110001122012121202112
4113032132213233331023200
5101342111221010122300
61001131023322334452
730342044522005565
oct2716364757751340
9441613048177675
10102150021567200
112a603643146942
12b55943765a428
1344cc92356b309
141b32131c6886c
15bc22531dbe35
hex5ce7a7bfd2e0

102150021567200 has 72 divisors (see below), whose sum is σ = 257972834697480. Its totient is φ = 39451042803200.

The previous prime is 102150021567199. The next prime is 102150021567247. The reversal of 102150021567200 is 2765120051201.

It is a super-3 number, since 3×1021500215672003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2201485886 + ... + 2201532285.

It is an arithmetic number, because the mean of its divisors is an integer number (3582956037465).

Almost surely, 2102150021567200 is an apocalyptic number.

102150021567200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102150021567200 is an abundant number, since it is smaller than the sum of its proper divisors (155822813130280).

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

102150021567200 is a wasteful number, since it uses less digits than its factorization.

102150021567200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403018220 (or 4403018207 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 102150021567200 in words is "one hundred two trillion, one hundred fifty billion, twenty-one million, five hundred sixty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 145 160 200 232 290 400 464 580 725 800 928 1160 1450 2320 2900 4640 5800 11600 23200 4403018171 8806036342 17612072684 22015090855 35224145368 44030181710 70448290736 88060363420 110075454275 127687526959 140896581472 176120726840 220150908550 255375053918 352241453680 440301817100 510750107836 638437634795 704482907360 880603634200 1021500215672 1276875269590 1761207268400 2043000431344 2553750539180 3192188173975 3522414536800 4086000862688 5107501078360 6384376347950 10215002156720 12768752695900 20430004313440 25537505391800 51075010783600 102150021567200