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102542412258 = 2321113201719751
BaseRepresentation
bin101111110000000000…
…0010000100111100010
3100210200100122021012200
41133200000100213202
53140001324143013
6115035103434030
710260045060066
oct1374000204742
9323610567180
10102542412258
113a540578060
1217a592b5916
13989246b6b0
144d6a991aa6
152a02541e73
hex17e00109e2

102542412258 has 96 divisors (see below), whose sum is σ = 261159679872. Its totient is φ = 28667520000.

The previous prime is 102542412229. The next prime is 102542412277. The reversal of 102542412258 is 852214245201.

102542412258 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 424 + 1 + 225 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5181883 + ... + 5201633.

It is an arithmetic number, because the mean of its divisors is an integer number (2720413332).

Almost surely, 2102542412258 is an apocalyptic number.

102542412258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102542412258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130579839936).

102542412258 is an abundant number, since it is smaller than the sum of its proper divisors (158617267614).

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

102542412258 is a wasteful number, since it uses less digits than its factorization.

102542412258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21800 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 102542412258 its reverse (852214245201), we get a palindrome (954756657459).

The spelling of 102542412258 in words is "one hundred two billion, five hundred forty-two million, four hundred twelve thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2017 2574 4034 6051 12102 18153 19751 22187 26221 36306 39502 44374 52442 59253 66561 78663 118506 133122 157326 177759 199683 217261 235989 256763 288431 355518 399366 434522 471978 513526 576862 651783 770289 865293 1303566 1540578 1730586 1955349 2310867 2595879 2824393 3910698 4621734 5191758 5648786 8473179 16946358 25419537 39837767 50839074 79675534 119513301 239026602 358539903 438215437 517890971 717079806 876430874 1035781942 1314646311 1553672913 2629292622 3107345826 3943938933 4661018739 5696800681 7887877866 9322037478 11393601362 17090402043 34180804086 51271206129 102542412258