Search a number
-
+
101315904 = 2631927773
BaseRepresentation
bin1100000100111…
…11010101000000
321001122101021220
412002133111000
5201414102104
614015315040
72340112434
oct602372500
9231571256
10101315904
1152210158
1229b1ba80
1317cb4751
14d6549c4
158d647d9
hex609f540

101315904 has 56 divisors (see below), whose sum is σ = 282183840. Its totient is φ = 31993344.

The previous prime is 101315861. The next prime is 101315917. The reversal of 101315904 is 409513101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10239 + ... + 17534.

Almost surely, 2101315904 is an apocalyptic number.

It is an amenable number.

101315904 is an abundant number, since it is smaller than the sum of its proper divisors (180867936).

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

101315904 is a wasteful number, since it uses less digits than its factorization.

101315904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27807 (or 27797 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 101315904 is about 10065.5801621168. The cubic root of 101315904 is about 466.1859794174.

The spelling of 101315904 in words is "one hundred one million, three hundred fifteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 27773 55546 83319 111092 166638 222184 333276 444368 527687 666552 888736 1055374 1333104 1583061 1777472 2110748 2666208 3166122 4221496 5332416 6332244 8442992 12664488 16885984 25328976 33771968 50657952 101315904