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10101000104 = 2313106191541
BaseRepresentation
bin10010110100001000…
…10000011110101000
3222001221210222012222
421122010100132220
5131141324000404
64350151253212
7505212040616
oct113204203650
928057728188
1010101000104
114313829978
121b5a97a208
13c4c8c1250
146bb7346b6
153e1baddbe
hex25a1107a8

10101000104 has 32 divisors (see below), whose sum is σ = 20415696840. Its totient is φ = 4657555200.

The previous prime is 10101000059. The next prime is 10101000127. The reversal of 10101000104 is 40100010101.

It can be written as a sum of positive squares in 4 ways, for example, as 6707937604 + 3393062500 = 81902^2 + 58250^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10101000091 and 10101000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64574 + ... + 156114.

Almost surely, 210101000104 is an apocalyptic number.

It is an amenable number.

10101000104 is an abundant number, since it is smaller than the sum of its proper divisors (10314696736).

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

10101000104 is a wasteful number, since it uses less digits than its factorization.

10101000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92621 (or 92617 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101000104 its reverse (40100010101), we get a palindrome (50201010205).

The spelling of 10101000104 in words is "ten billion, one hundred one million, one hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 104 1061 2122 4244 8488 13793 27586 55172 91541 110344 183082 366164 732328 1190033 2380066 4760132 9520264 97125001 194250002 388500004 777000008 1262625013 2525250026 5050500052 10101000104