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102300232320 = 273251113124199
BaseRepresentation
bin101111101000110010…
…0011010101010000000
3100210001110221020210100
41133101210122222000
53134002324413240
6114555053002400
710251044425116
oct1372144325200
9323043836710
10102300232320
113a4268a5750
12179b0183400
139854236560
144d4674dab6
1529db154e30
hex17d191aa80

102300232320 has 384 divisors, whose sum is σ = 415016784000. Its totient is φ = 22892175360.

The previous prime is 102300232319. The next prime is 102300232327. The reversal of 102300232320 is 23232003201.

It is a happy number.

102300232320 is a `hidden beast` number, since 10 + 2 + 300 + 2 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102300232293 and 102300232302.

It is not an unprimeable number, because it can be changed into a prime (102300232327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761581 + ... + 885779.

It is an arithmetic number, because the mean of its divisors is an integer number (1080772875).

Almost surely, 2102300232320 is an apocalyptic number.

102300232320 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 102300232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207508392000).

102300232320 is an abundant number, since it is smaller than the sum of its proper divisors (312716551680).

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

102300232320 is a wasteful number, since it uses less digits than its factorization.

102300232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124248 (or 124233 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102300232320 its reverse (23232003201), we get a palindrome (125532235521).

The spelling of 102300232320 in words is "one hundred two billion, three hundred million, two hundred thirty-two thousand, three hundred twenty".