Search a number
-
+
10112132129 = 114125189329
BaseRepresentation
bin10010110101011101…
…01110010000100001
3222002201202112111012
421122232232100201
5131202201212004
64351230030305
7505405463531
oct113256562041
928081675435
1010112132129
11431a0425a0
121b62648395
13c51cbb148
146bcdd14c1
153e2b5c46e
hex25abae421

10112132129 has 16 divisors (see below), whose sum is σ = 11345624640. Its totient is φ = 8932800000.

The previous prime is 10112132113. The next prime is 10112132159. The reversal of 10112132129 is 92123121101.

It is a cyclic number.

It is not a de Polignac number, because 10112132129 - 24 = 10112132113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10112132159) 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, 68537 + ... + 157865.

It is an arithmetic number, because the mean of its divisors is an integer number (709101540).

Almost surely, 210112132129 is an apocalyptic number.

It is an amenable number.

10112132129 is a deficient number, since it is larger than the sum of its proper divisors (1233492511).

10112132129 is a wasteful number, since it uses less digits than its factorization.

10112132129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89632.

The product of its (nonzero) digits is 216, while the sum is 23.

It can be divided in two parts, 10112 and 132129, that added together give a palindrome (142241).

The spelling of 10112132129 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, one hundred twenty-nine".

Divisors: 1 11 41 251 451 2761 10291 89329 113201 982619 3662489 22421579 40287379 246637369 919284739 10112132129