Search a number
-
+
131111431 = 11233173229
BaseRepresentation
bin1111101000010…
…01101000000111
3100010201011001221
413310021220013
5232031031211
621002101211
73151300033
oct764115007
9303634057
10131111431
1168010a60
1237aaa807
1321217639
14135ad1c3
15b79cc71
hex7d09a07

131111431 has 32 divisors (see below), whose sum is σ = 156856320. Its totient is φ = 108345600.

The previous prime is 131111389. The next prime is 131111437. The reversal of 131111431 is 134111131.

It is not a de Polignac number, because 131111431 - 211 = 131109383 is a prime.

It is a super-2 number, since 2×1311114312 = 34380414677735522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572425 + ... + 572653.

It is an arithmetic number, because the mean of its divisors is an integer number (4901760).

Almost surely, 2131111431 is an apocalyptic number.

131111431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131111431 is a deficient number, since it is larger than the sum of its proper divisors (25744889).

131111431 is a wasteful number, since it uses less digits than its factorization.

131111431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its digits is 36, while the sum is 16.

The square root of 131111431 is about 11450.3899933583. The cubic root of 131111431 is about 508.0192696826.

Adding to 131111431 its reverse (134111131), we get a palindrome (265222562).

The spelling of 131111431 in words is "one hundred thirty-one million, one hundred eleven thousand, four hundred thirty-one".

Divisors: 1 11 23 31 73 229 253 341 713 803 1679 2263 2519 5267 7099 7843 16717 18469 24893 52049 57937 78089 163277 183887 384491 518227 572539 1796047 4229401 5700497 11919221 131111431