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102923021520 = 243351143131769
BaseRepresentation
bin101111111011010110…
…0001010110011010000
3100211122212211012222000
41133312230022303100
53141241243142040
6115140541314000
710302346151064
oct1376654126320
9324585735860
10102923021520
113a7163a9470
1217b44865900
139923280c87
144da5349aa4
152a25b75130
hex17f6b0acd0

102923021520 has 640 divisors, whose sum is σ = 399274444800. Its totient is φ = 24153292800.

The previous prime is 102923021519. The next prime is 102923021573. The reversal of 102923021520 is 25120329201.

It is a happy number.

102923021520 is a `hidden beast` number, since 1 + 0 + 2 + 92 + 30 + 21 + 520 = 666.

It is a super-2 number, since 2×1029230215202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 133839696 + ... + 133840464.

It is an arithmetic number, because the mean of its divisors is an integer number (623866320).

Almost surely, 2102923021520 is an apocalyptic number.

102923021520 is a gapful number since it is divisible by the number (10) 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 102923021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199637222400).

102923021520 is an abundant number, since it is smaller than the sum of its proper divisors (296351423280).

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

102923021520 is a wasteful number, since it uses less digits than its factorization.

102923021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 102923021520 in words is "one hundred two billion, nine hundred twenty-three million, twenty-one thousand, five hundred twenty".