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102431100020 = 22522922364869
BaseRepresentation
bin101111101100101011…
…1101000110001110100
3100210101121012000112012
41133121113220301310
53134234330200040
6115020045543352
710254223661444
oct1373127506164
9323347160465
10102431100020
113a49375a577
1217a27b74b58
139875396c72
144d59c98124
1529e78a5865
hex17d95e8c74

102431100020 has 24 divisors (see below), whose sum is σ = 216044644200. Its totient is φ = 40793519232.

The previous prime is 102431100017. The next prime is 102431100041. The reversal of 102431100020 is 20001134201.

It can be written as a sum of positive squares in 4 ways, for example, as 56897515024 + 45533584996 = 238532^2 + 213386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102431099968 and 102431100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11177855 + ... + 11187014.

It is an arithmetic number, because the mean of its divisors is an integer number (9001860175).

Almost surely, 2102431100020 is an apocalyptic number.

102431100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102431100020 is an abundant number, since it is smaller than the sum of its proper divisors (113613544180).

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

102431100020 is a wasteful number, since it uses less digits than its factorization.

102431100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22365107 (or 22365105 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102431100020 its reverse (20001134201), we get a palindrome (122432234221).

The spelling of 102431100020 in words is "one hundred two billion, four hundred thirty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 22364869 44729738 89459476 111824345 223648690 447297380 5121555001 10243110002 20486220004 25607775005 51215550010 102431100020