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131321311 = 11172101409
BaseRepresentation
bin1111101001111…
…00110111011111
3100011002210222021
413310330313133
5232104240221
621010401011
73153132652
oct764746737
9304083867
10131321311
1168144710
1237b90167
132128c024
1413625899
15b7e0041
hex7d3cddf

131321311 has 24 divisors (see below), whose sum is σ = 154064880. Its totient is φ = 110976000.

The previous prime is 131321303. The next prime is 131321317. The reversal of 131321311 is 113123131.

It is not a de Polignac number, because 131321311 - 23 = 131321303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320875 + ... + 321283.

It is an arithmetic number, because the mean of its divisors is an integer number (6419370).

Almost surely, 2131321311 is an apocalyptic number.

131321311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131321311 is a deficient number, since it is larger than the sum of its proper divisors (22743569).

131321311 is a wasteful number, since it uses less digits than its factorization.

131321311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 538 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 131321311 is about 11459.5510819578. The cubic root of 131321311 is about 508.2902001444.

Adding to 131321311 its reverse (113123131), we get a palindrome (244444442).

The spelling of 131321311 in words is "one hundred thirty-one million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 11 17 101 187 289 409 1111 1717 3179 4499 6953 18887 29189 41309 76483 118201 321079 454399 702253 1300211 7724783 11938301 131321311