Search a number
-
+
113157 = 3411127
BaseRepresentation
bin11011101000000101
312202020000
4123220011
512110112
62231513
7650622
oct335005
9182200
10113157
1178020
1255599
133c675
142d349
15237dc
hex1ba05

113157 has 20 divisors (see below), whose sum is σ = 185856. Its totient is φ = 68040.

The previous prime is 113153. The next prime is 113159. The reversal of 113157 is 751311.

It is a happy number.

It is not a de Polignac number, because 113157 - 22 = 113153 is a prime.

113157 is a lucky number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828 + ... + 954.

2113157 is an apocalyptic number.

It is an amenable number.

113157 is a deficient number, since it is larger than the sum of its proper divisors (72699).

113157 is a wasteful number, since it uses less digits than its factorization.

113157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 113157 is about 336.3881686386. The cubic root of 113157 is about 48.3682611850.

Adding to 113157 its reverse (751311), we get a palindrome (864468).

The spelling of 113157 in words is "one hundred thirteen thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 27 33 81 99 127 297 381 891 1143 1397 3429 4191 10287 12573 37719 113157