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102311000010 = 23252694225981
BaseRepresentation
bin101111101001000110…
…1011111011111001010
3100210002020012022021200
41133102031133133022
53134013104000020
6115000115445030
710251235102602
oct1372215373712
9323066168250
10102311000010
113a43198a66a
12179b38b6776
13985653667b
144d47d53c02
1529dc080590
hex17d235f7ca

102311000010 has 48 divisors (see below), whose sum is σ = 266997542760. Its totient is φ = 27181503360.

The previous prime is 102311000003. The next prime is 102311000039. The reversal of 102311000010 is 10000113201.

It can be written as a sum of positive squares in 4 ways, for example, as 37318126041 + 64992873969 = 193179^2 + 254937^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102310999956 and 102311000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2088781 + ... + 2137200.

Almost surely, 2102311000010 is an apocalyptic number.

102311000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102311000010 is an abundant number, since it is smaller than the sum of its proper divisors (164686542750).

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

102311000010 is a wasteful number, since it uses less digits than its factorization.

102311000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226263 (or 4226260 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102311000010 its reverse (10000113201), we get a palindrome (112311113211).

The spelling of 102311000010 in words is "one hundred two billion, three hundred eleven million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 269 538 807 1345 1614 2421 2690 4035 4842 8070 12105 24210 4225981 8451962 12677943 21129905 25355886 38033829 42259810 63389715 76067658 126779430 190169145 380338290 1136788889 2273577778 3410366667 5683944445 6820733334 10231100001 11367888890 17051833335 20462200002 34103666670 51155500005 102311000010