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102375082524 = 2231113127469757
BaseRepresentation
bin101111101011000000…
…1111100101000011100
3100210020200210000222010
41133112001330220130
53134131010120044
6115010325151220
710252643562231
oct1372601745034
9323220700863
10102375082524
113a465079820
1217a1125b510
1398668b2910
144d52675788
1529e29dcbb9
hex17d607ca1c

102375082524 has 96 divisors (see below), whose sum is σ = 282846928896. Its totient is φ = 28410842880.

The previous prime is 102375082519. The next prime is 102375082561. The reversal of 102375082524 is 425280573201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16947 + ... + 452810.

It is an arithmetic number, because the mean of its divisors is an integer number (2946322176).

Almost surely, 2102375082524 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 102375082524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141423464448).

102375082524 is an abundant number, since it is smaller than the sum of its proper divisors (180471846372).

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

102375082524 is a wasteful number, since it uses less digits than its factorization.

102375082524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469915 (or 469913 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 102375082524 in words is "one hundred two billion, three hundred seventy-five million, eighty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 127 132 143 156 254 286 381 429 508 572 762 858 1397 1524 1651 1716 2794 3302 4191 4953 5588 6604 8382 9906 16764 18161 19812 36322 54483 72644 108966 217932 469757 939514 1409271 1879028 2818542 5167327 5637084 6106841 10334654 12213682 15501981 18320523 20669308 24427364 31003962 36641046 59659139 62007924 67175251 73282092 119318278 134350502 178977417 201525753 238636556 268701004 357954834 403051506 656250529 715909668 775568807 806103012 1312501058 1551137614 1968751587 2326706421 2625002116 3102275228 3937503174 4653412842 7875006348 8531256877 9306825684 17062513754 25593770631 34125027508 51187541262 102375082524