Search a number
-
+
131364123 = 31141791229
BaseRepresentation
bin1111101010001…
…11010100011011
3100011011222200220
413311013110123
5232112122443
621011331123
73153401532
oct765072433
9304158626
10131364123
11681738a0
1237bb0aa3
13212a5667
1413637319
15b7eca83
hex7d4751b

131364123 has 32 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 76627200.

The previous prime is 131364073. The next prime is 131364127. The reversal of 131364123 is 321463131.

It is a happy number.

It is not a de Polignac number, because 131364123 - 214 = 131347739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131364093 and 131364102.

It is not an unprimeable number, because it can be changed into a prime (131364127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106273 + ... + 107501.

It is an arithmetic number, because the mean of its divisors is an integer number (6199200).

Almost surely, 2131364123 is an apocalyptic number.

131364123 is a deficient number, since it is larger than the sum of its proper divisors (67010277).

131364123 is a wasteful number, since it uses less digits than its factorization.

131364123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363.

The product of its digits is 1296, while the sum is 24.

The square root of 131364123 is about 11461.4188912194. The cubic root of 131364123 is about 508.3454299609.

The spelling of 131364123 in words is "one hundred thirty-one million, three hundred sixty-four thousand, one hundred twenty-three".

Divisors: 1 3 11 33 41 79 123 237 451 869 1229 1353 2607 3239 3687 9717 13519 35629 40557 50389 97091 106887 151167 291273 554279 1068001 1662837 3204003 3980731 11942193 43788041 131364123