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102321310100 = 22521023213101
BaseRepresentation
bin101111101001011010…
…0110100100110010100
3100210002221121010001212
41133102310310212110
53134023223410400
6115001124440552
710251421533302
oct1372264644624
9323087533055
10102321310100
113a4377917a9
12179b7249158
139858706409
144d49479272
1529dce1a335
hex17d2d34994

102321310100 has 18 divisors (see below), whose sum is σ = 222037243134. Its totient is φ = 40928524000.

The previous prime is 102321310057. The next prime is 102321310141. The reversal of 102321310100 is 1013123201.

It can be written as a sum of positive squares in 3 ways, for example, as 9961237636 + 92360072464 = 99806^2 + 303908^2 .

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 5 ways as a sum of consecutive naturals, for example, 511606451 + ... + 511606650.

Almost surely, 2102321310100 is an apocalyptic number.

102321310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102321310100 is an abundant number, since it is smaller than the sum of its proper divisors (119715933034).

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

102321310100 is a wasteful number, since it uses less digits than its factorization.

102321310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023213115 (or 1023213108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102321310100 its reverse (1013123201), we get a palindrome (103334433301).

The spelling of 102321310100 in words is "one hundred two billion, three hundred twenty-one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1023213101 2046426202 4092852404 5116065505 10232131010 20464262020 25580327525 51160655050 102321310100