Search a number
-
+
13110623625 = 353113738521
BaseRepresentation
bin11000011010111010…
…00011110110001001
31020211200221200112210
430031131003312021
5203322304424000
610004542055333
7642615314331
oct141535036611
936750850483
1013110623625
115618672640
12265a87a549
13130c294b78
148c53240c1
1551b004350
hex30d743d89

13110623625 has 64 divisors (see below), whose sum is σ = 23865963264. Its totient is φ = 6338880000.

The previous prime is 13110623609. The next prime is 13110623629. The reversal of 13110623625 is 52632601131.

13110623625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13110623625 - 24 = 13110623609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13110623592 and 13110623601.

It is not an unprimeable number, because it can be changed into a prime (13110623629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1534365 + ... + 1542885.

It is an arithmetic number, because the mean of its divisors is an integer number (372905676).

Almost surely, 213110623625 is an apocalyptic number.

13110623625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13110623625 is a deficient number, since it is larger than the sum of its proper divisors (10755339639).

13110623625 is a wasteful number, since it uses less digits than its factorization.

13110623625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 13110623625 in words is "thirteen billion, one hundred ten million, six hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 373 375 825 1119 1375 1865 4103 4125 5595 8521 9325 12309 20515 25563 27975 42605 46625 61545 93731 102575 127815 139875 213025 281193 307725 468655 512875 639075 1065125 1405965 1538625 2343275 3178333 3195375 7029825 9534999 11716375 15891665 34961663 35149125 47674995 79458325 104884989 174808315 238374975 397291625 524424945 874041575 1191874875 2622124725 4370207875 13110623625