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131111331 = 3133361829
BaseRepresentation
bin1111101000010…
…01100110100011
3100010201010221020
413310021212203
5232031030311
621002100523
73151266531
oct764114643
9303633836
10131111331
116801097a
1237aaa743
1321217590
14135ad151
15b79cc06
hex7d099a3

131111331 has 8 divisors (see below), whose sum is σ = 188262480. Its totient is φ = 80683872.

The previous prime is 131111263. The next prime is 131111359. The reversal of 131111331 is 133111131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131111331 - 211 = 131109283 is a prime.

It is a super-2 number, since 2×1311113312 = 34380362233183122, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131111331.

It is not an unprimeable number, because it can be changed into a prime (131111131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1680876 + ... + 1680953.

It is an arithmetic number, because the mean of its divisors is an integer number (23532810).

Almost surely, 2131111331 is an apocalyptic number.

131111331 is a deficient number, since it is larger than the sum of its proper divisors (57151149).

131111331 is a wasteful number, since it uses less digits than its factorization.

131111331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361845.

The product of its digits is 27, while the sum is 15.

The square root of 131111331 is about 11450.3856266940. The cubic root of 131111331 is about 508.0191405254.

Adding to 131111331 its reverse (133111131), we get a palindrome (264222462).

The spelling of 131111331 in words is "one hundred thirty-one million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 13 39 3361829 10085487 43703777 131111331