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102381244056 = 2336731331127
BaseRepresentation
bin101111101011001100…
…1011100111010011000
3100210021010101002000000
41133112121130322120
53134134044302211
6115011105213000
710253050134000
oct1372631347230
9323233332000
10102381244056
113a4685a7aa3
1217a13331160
139867c5c2b0
144d533db000
1529e3308656
hex17d665ce98

102381244056 has 896 divisors, whose sum is σ = 376061952000. Its totient is φ = 25924872960.

The previous prime is 102381243919. The next prime is 102381244061. The reversal of 102381244056 is 650442183201.

It is a happy number.

102381244056 is a `hidden beast` number, since 1 + 0 + 238 + 12 + 4 + 405 + 6 = 666.

It is a super-2 number, since 2×1023812440562 (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 102381244056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 806151465 + ... + 806151591.

It is an arithmetic number, because the mean of its divisors is an integer number (419712000).

Almost surely, 2102381244056 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 102381244056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188030976000).

102381244056 is an abundant number, since it is smaller than the sum of its proper divisors (273680707944).

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

102381244056 is a wasteful number, since it uses less digits than its factorization.

102381244056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 102381244056 in words is "one hundred two billion, three hundred eighty-one million, two hundred forty-four thousand, fifty-six".