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103412088234 = 233713193135729
BaseRepresentation
bin110000001001111010…
…1110011110110101010
3100212220222002101101000
41200103311303312222
53143241443310414
6115301251535430
710320435150420
oct1402365636652
9325828071330
10103412088234
113a947478534
12180605ba576
1399a06a8770
145010297110
152a53a7db09
hex1813d73daa

103412088234 has 256 divisors, whose sum is σ = 307335168000. Its totient is φ = 25003883520.

The previous prime is 103412088223. The next prime is 103412088313. The reversal of 103412088234 is 432880214301.

It is a happy number.

103412088234 is a `hidden beast` number, since 1 + 0 + 3 + 412 + 0 + 8 + 8 + 234 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2876482 + ... + 2912210.

It is an arithmetic number, because the mean of its divisors is an integer number (1200528000).

Almost surely, 2103412088234 is an apocalyptic number.

103412088234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103412088234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153667584000).

103412088234 is an abundant number, since it is smaller than the sum of its proper divisors (203923079766).

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

103412088234 is a wasteful number, since it uses less digits than its factorization.

103412088234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35810 (or 35804 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 103412088234 in words is "one hundred three billion, four hundred twelve million, eighty-eight thousand, two hundred thirty-four".