Search a number
-
+
10132300113 = 313377021691
BaseRepresentation
bin10010110111110111…
…01010000101010001
3222011010201011202120
421123323222011101
5131222332100423
64353230204453
7506042062365
oct113373520521
928133634676
1010132300113
11432a468051
121b69353729
13c5622cb70
146c19612a5
153e47e2ee3
hex25beea151

10132300113 has 16 divisors (see below), whose sum is σ = 14942160576. Its totient is φ = 6066740160.

The previous prime is 10132300109. The next prime is 10132300117. The reversal of 10132300113 is 31100323101.

10132300113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10132300109) and next prime (10132300117).

It is not a de Polignac number, because 10132300113 - 22 = 10132300109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10132300092 and 10132300101.

It is not an unprimeable number, because it can be changed into a prime (10132300117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3509403 + ... + 3512288.

It is an arithmetic number, because the mean of its divisors is an integer number (933885036).

Almost surely, 210132300113 is an apocalyptic number.

10132300113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10132300113 is a deficient number, since it is larger than the sum of its proper divisors (4809860463).

10132300113 is a wasteful number, since it uses less digits than its factorization.

10132300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021744.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10132300113 its reverse (31100323101), we get a palindrome (41232623214).

The spelling of 10132300113 in words is "ten billion, one hundred thirty-two million, three hundred thousand, one hundred thirteen".

Divisors: 1 3 13 37 39 111 481 1443 7021691 21065073 91281983 259802567 273845949 779407701 3377433371 10132300113