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102353412096 = 2133213234643
BaseRepresentation
bin101111101010010111…
…1010010000000000000
3100210012012000001201200
41133110233102000000
53134104433141341
6115004232501200
710252261435155
oct1372457220000
9323165001650
10102353412096
113a453918481
1217a05b4a800
139862266090
144d4d83422c
1529e0b5bdb6
hex17d4bd2000

102353412096 has 336 divisors, whose sum is σ = 332329023936. Its totient is φ = 30117593088.

The previous prime is 102353412079. The next prime is 102353412127. The reversal of 102353412096 is 690214353201.

102353412096 is a `hidden beast` number, since 1 + 0 + 23 + 534 + 12 + 0 + 96 = 666.

It is a super-2 number, since 2×1023534120962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102353412096.

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, 22042351 + ... + 22046993.

It is an arithmetic number, because the mean of its divisors is an integer number (989074476).

Almost surely, 2102353412096 is an apocalyptic number.

102353412096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102353412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166164511968).

102353412096 is an abundant number, since it is smaller than the sum of its proper divisors (229975611840).

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

102353412096 is a wasteful number, since it uses less digits than its factorization.

102353412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 102353412096 its reverse (690214353201), we get a palindrome (792567765297).

The spelling of 102353412096 in words is "one hundred two billion, three hundred fifty-three million, four hundred twelve thousand, ninety-six".