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131323311 = 3274744351
BaseRepresentation
bin1111101001111…
…01010110101111
3100011002220201100
413310331112233
5232104321221
621010414143
73153141540
oct764752657
9304086640
10131323311
1168146169
1237b91353
132128cc02
14136264c7
15b7e0926
hex7d3d5af

131323311 has 24 divisors (see below), whose sum is σ = 221405184. Its totient is φ = 73443600.

The previous prime is 131323303. The next prime is 131323349. The reversal of 131323311 is 113323131.

It is a happy number.

131323311 is a `hidden beast` number, since 1 + 31 + 323 + 311 = 666.

It is not a de Polignac number, because 131323311 - 23 = 131323303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323111) 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 23 ways as a sum of consecutive naturals, for example, 19215 + ... + 25136.

It is an arithmetic number, because the mean of its divisors is an integer number (9225216).

Almost surely, 2131323311 is an apocalyptic number.

131323311 is a deficient number, since it is larger than the sum of its proper divisors (90081873).

131323311 is a wasteful number, since it uses less digits than its factorization.

131323311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44411 (or 44408 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 131323311 is about 11459.6383450788. The cubic root of 131323311 is about 508.2927805208.

Adding to 131323311 its reverse (113323131), we get a palindrome (244646442).

The spelling of 131323311 in words is "one hundred thirty-one million, three hundred twenty-three thousand, three hundred eleven".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 44351 133053 310457 399159 931371 2084497 2794113 6253491 14591479 18760473 43774437 131323311