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102023953920 = 2933573741139
BaseRepresentation
bin101111100000100011…
…0011111111000000000
3100202100020001212002000
41133001012133320000
53132421113011140
6114511423224000
710241151204540
oct1370106377000
9322306055060
10102023953920
113a2a4953699
1217933748000
13980bc22b05
144d1bb93320
1529c1c7ea30
hex17c119fe00

102023953920 has 1280 divisors, whose sum is σ = 438871910400. Its totient is φ = 21976842240.

The previous prime is 102023953919. The next prime is 102023953921. The reversal of 102023953920 is 29359320201.

102023953920 is a `hidden beast` number, since 10 + 20 + 239 + 5 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102023953919) and next prime (102023953921).

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023953921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 733985211 + ... + 733985349.

It is an arithmetic number, because the mean of its divisors is an integer number (342868680).

Almost surely, 2102023953920 is an apocalyptic number.

102023953920 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 102023953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219435955200).

102023953920 is an abundant number, since it is smaller than the sum of its proper divisors (336847956480).

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

102023953920 is a wasteful number, since it uses less digits than its factorization.

102023953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 102023953920 in words is "one hundred two billion, twenty-three million, nine hundred fifty-three thousand, nine hundred twenty".