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102298290336 = 25341121917167
BaseRepresentation
bin101111101000101110…
…1000000100010100000
3100210001100021120220000
41133101131000202200
53134001330242321
6114554543220000
710251022056264
oct1372135004240
9323040246800
10102298290336
113a425799700
12179ab5a7600
139853a06658
144d463a60a4
1529dadbe826
hex17d17408a0

102298290336 has 360 divisors, whose sum is σ = 348118626240. Its totient is φ = 29366219520.

The previous prime is 102298290277. The next prime is 102298290397. The reversal of 102298290336 is 633092892201.

It is a happy number.

102298290336 is a `hidden beast` number, since 1 + 0 + 2 + 29 + 8 + 290 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102298290291 and 102298290300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5950425 + ... + 5967591.

It is an arithmetic number, because the mean of its divisors is an integer number (966996184).

Almost surely, 2102298290336 is an apocalyptic number.

102298290336 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 102298290336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174059313120).

102298290336 is an abundant number, since it is smaller than the sum of its proper divisors (245820335904).

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

102298290336 is a wasteful number, since it uses less digits than its factorization.

102298290336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17202 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 102298290336 in words is "one hundred two billion, two hundred ninety-eight million, two hundred ninety thousand, three hundred thirty-six".