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102310430024 = 23112105692593
BaseRepresentation
bin101111101001000101…
…1010100010101001000
3100210002012010100102002
41133102023110111020
53134012432230044
6115000055330132
710251230210045
oct1372213242510
9323065110362
10102310430024
113a431630400
12179b3680948
1398563970ba
144d47c461cc
1529dbebb74e
hex17d22d4548

102310430024 has 24 divisors (see below), whose sum is σ = 210856725030. Its totient is φ = 46504740480.

The previous prime is 102310430023. The next prime is 102310430077. The reversal of 102310430024 is 420034013201.

It can be written as a sum of positive squares in only one way, i.e., 102196581124 + 113848900 = 319682^2 + 10670^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102310429978 and 102310430005.

It is not an unprimeable number, because it can be changed into a prime (102310430021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52845329 + ... + 52847264.

Almost surely, 2102310430024 is an apocalyptic number.

It is an amenable number.

102310430024 is an abundant number, since it is smaller than the sum of its proper divisors (108546295006).

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

102310430024 is a wasteful number, since it uses less digits than its factorization.

102310430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105692621 (or 105692606 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102310430024 its reverse (420034013201), we get a palindrome (522344443225).

The spelling of 102310430024 in words is "one hundred two billion, three hundred ten million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 105692593 211385186 422770372 845540744 1162618523 2325237046 4650474092 9300948184 12788803753 25577607506 51155215012 102310430024