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102413341020 = 223512713440071
BaseRepresentation
bin101111101100001001…
…1111001000101011100
3100210100100202202202110
41133120103321011130
53134220303403040
6115014213154020
710253620015104
oct1373023710534
9323310682673
10102413341020
113a48472aa11
1217a2202b910
1398717b9893
144d57794204
1529e6048980
hex17d84f915c

102413341020 has 48 divisors (see below), whose sum is σ = 289015308288. Its totient is φ = 27095181120.

The previous prime is 102413341007. The next prime is 102413341027. The reversal of 102413341020 is 20143314201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102413341027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6712416 + ... + 6727655.

It is an arithmetic number, because the mean of its divisors is an integer number (6021152256).

Almost surely, 2102413341020 is an apocalyptic number.

102413341020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102413341020 is an abundant number, since it is smaller than the sum of its proper divisors (186601967268).

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

102413341020 is a wasteful number, since it uses less digits than its factorization.

102413341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13440210 (or 13440208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102413341020 its reverse (20143314201), we get a palindrome (122556655221).

The spelling of 102413341020 in words is "one hundred two billion, four hundred thirteen million, three hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 13440071 26880142 40320213 53760284 67200355 80640426 134400710 161280852 201601065 268801420 403202130 806404260 1706889017 3413778034 5120667051 6827556068 8534445085 10241334102 17068890170 20482668204 25603335255 34137780340 51206670510 102413341020