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102328310880 = 253554397631
BaseRepresentation
bin101111101001100111…
…1100001110001100000
3100210010102202210100000
41133103033201301200
53134032021422010
6115001534500000
710251535201605
oct1372317416140
9323112683300
10102328310880
113a440733574
12179b9664600
139859cb7aa3
144d4a37c6ac
1529dd84e7c0
hex17d33e1c60

102328310880 has 576 divisors, whose sum is σ = 374963516928. Its totient is φ = 26336378880.

The previous prime is 102328310869. The next prime is 102328310897. The reversal of 102328310880 is 88013823201.

102328310880 is a `hidden beast` number, since 10 + 2 + 328 + 310 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162168165 + ... + 162168795.

It is an arithmetic number, because the mean of its divisors is an integer number (650978328).

Almost surely, 2102328310880 is an apocalyptic number.

102328310880 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 102328310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187481758464).

102328310880 is an abundant number, since it is smaller than the sum of its proper divisors (272635206048).

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

102328310880 is an equidigital number, since it uses as much as digits as its factorization.

102328310880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 102328310880 in words is "one hundred two billion, three hundred twenty-eight million, three hundred ten thousand, eight hundred eighty".