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102320131199 = 1131317347849
BaseRepresentation
bin101111101001011000…
…0010100110001111111
3100210002212101012220212
41133102300110301333
53134022423144244
6115001043303035
710251405523256
oct1372260246177
9323085335825
10102320131199
113a437057000
12179b697aa7b
1398583b2940
144d4924d79d
1529dcc85d9e
hex17d2c14c7f

102320131199 has 32 divisors (see below), whose sum is σ = 128331604800. Its totient is φ = 80812047360.

The previous prime is 102320131181. The next prime is 102320131229. The reversal of 102320131199 is 991131023201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-102320131199 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320101199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120227 + ... + 468075.

It is an arithmetic number, because the mean of its divisors is an integer number (4010362650).

Almost surely, 2102320131199 is an apocalyptic number.

102320131199 is a deficient number, since it is larger than the sum of its proper divisors (26011473601).

102320131199 is a wasteful number, since it uses less digits than its factorization.

102320131199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347912 (or 347890 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 102320131199 in words is "one hundred two billion, three hundred twenty million, one hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 11 13 17 121 143 187 221 1331 1573 2057 2431 17303 22627 26741 294151 347849 3826339 4522037 5913433 42089729 49742407 65047763 76874629 462987019 547166477 715525393 845620919 6018831247 7870779323 9301830109 102320131199