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102313101020 = 22513907433861
BaseRepresentation
bin101111101001001010…
…1100000011011011100
3100210002101011001022212
41133102111200123130
53134014123213040
6115000232455552
710251262003154
oct1372225403334
9323071131285
10102313101020
113a433095139
12179b454a5b8
139856ac0a80
144d4833d764
1529dc347d65
hex17d25606dc

102313101020 has 48 divisors (see below), whose sum is σ = 231640657248. Its totient is φ = 37735407360.

The previous prime is 102313101001. The next prime is 102313101091. The reversal of 102313101020 is 20101313201.

It is a junction number, because it is equal to n+sod(n) for n = 102313100986 and 102313101004.

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 15 ways as a sum of consecutive naturals, for example, 18890 + ... + 452750.

It is an arithmetic number, because the mean of its divisors is an integer number (4825847026).

Almost surely, 2102313101020 is an apocalyptic number.

102313101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102313101020 is an abundant number, since it is smaller than the sum of its proper divisors (129327556228).

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

102313101020 is a wasteful number, since it uses less digits than its factorization.

102313101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434790 (or 434788 counting only the distinct ones).

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

Adding to 102313101020 its reverse (20101313201), we get a palindrome (122414414221).

The spelling of 102313101020 in words is "one hundred two billion, three hundred thirteen million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 907 1814 3628 4535 9070 11791 18140 23582 47164 58955 117910 235820 433861 867722 1735444 2169305 4338610 5640193 8677220 11280386 22560772 28200965 56401930 112803860 393511927 787023854 1574047708 1967559635 3935119270 5115655051 7870238540 10231310102 20462620204 25578275255 51156550510 102313101020