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102023332320 = 25357133763127
BaseRepresentation
bin101111100000100010…
…0001000000111100000
3100202100011220021101210
41133001010020013200
53132420433113240
6114511402030120
710241143005360
oct1370104100740
9322304807353
10102023332320
113a2a4569678
12179334a8340
13980ba65bc0
144d1ba709a0
1529c1baa780
hex17c11081e0

102023332320 has 384 divisors, whose sum is σ = 406233225216. Its totient is φ = 20943691776.

The previous prime is 102023332247. The next prime is 102023332337. The reversal of 102023332320 is 23233320201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1584597 + ... + 1647723.

It is an arithmetic number, because the mean of its divisors is an integer number (1057899024).

Almost surely, 2102023332320 is an apocalyptic number.

102023332320 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 102023332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203116612608).

102023332320 is an abundant number, since it is smaller than the sum of its proper divisors (304209892896).

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

102023332320 is a wasteful number, since it uses less digits than its factorization.

102023332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63202 (or 63194 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 102023332320 its reverse (23233320201), we get a palindrome (125256652521).

The spelling of 102023332320 in words is "one hundred two billion, twenty-three million, three hundred thirty-two thousand, three hundred twenty".