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131014331 = 7107211829
BaseRepresentation
bin1111100111100…
…01111010111011
3100010112012212122
413303301322323
5232014424311
621000031455
73150413660
oct763617273
9303465778
10131014331
1167a55008
1237a6258b
13211b2396
1413585a67
15b77e0db
hex7cf1ebb

131014331 has 16 divisors (see below), whose sum is σ = 152029440. Its totient is φ = 110587680.

The previous prime is 131014313. The next prime is 131014363. The reversal of 131014331 is 133410131.

It is not a de Polignac number, because 131014331 - 210 = 131013307 is a prime.

It is a super-2 number, since 2×1310143312 = 34329509854755122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131014931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157625 + ... + 158453.

It is an arithmetic number, because the mean of its divisors is an integer number (9501840).

Almost surely, 2131014331 is an apocalyptic number.

131014331 is a deficient number, since it is larger than the sum of its proper divisors (21015109).

131014331 is a wasteful number, since it uses less digits than its factorization.

131014331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 131014331 is about 11446.1491777803. The cubic root of 131014331 is about 507.8938271406.

Adding to 131014331 its reverse (133410131), we get a palindrome (264424462).

The spelling of 131014331 in words is "one hundred thirty-one million, fourteen thousand, three hundred thirty-one".

Divisors: 1 7 107 211 749 829 1477 5803 22577 88703 158039 174919 620921 1224433 18716333 131014331