Search a number
-
+
131124301 = 7111989627
BaseRepresentation
bin1111101000011…
…00110001001101
3100010201210201121
413310030301031
5232031434201
621002240541
73151352410
oct764146115
9303653647
10131124301
116801a6a0
1237ab6151
1321220459
14135b3b77
15b7a19a1
hex7d0cc4d

131124301 has 16 divisors (see below), whose sum is σ = 172085760. Its totient is φ = 96796080.

The previous prime is 131124289. The next prime is 131124307. The reversal of 131124301 is 103421131.

It is a cyclic number.

It is not a de Polignac number, because 131124301 - 25 = 131124269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131124307) 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, 43351 + ... + 46276.

It is an arithmetic number, because the mean of its divisors is an integer number (10755360).

Almost surely, 2131124301 is an apocalyptic number.

131124301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131124301 is a deficient number, since it is larger than the sum of its proper divisors (40961459).

131124301 is a wasteful number, since it uses less digits than its factorization.

131124301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89664.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131124301 is about 11450.9519691596. The cubic root of 131124301 is about 508.0358916609.

Adding to 131124301 its reverse (103421131), we get a palindrome (234545432).

The spelling of 131124301 in words is "one hundred thirty-one million, one hundred twenty-four thousand, three hundred one".

Divisors: 1 7 11 19 77 133 209 1463 89627 627389 985897 1702913 6901279 11920391 18732043 131124301