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131142319 = 71137191241
BaseRepresentation
bin1111101000100…
…01001010101111
3100010202201102221
413310101022233
5232033023234
621002500211
73151456060
oct764211257
9303681387
10131142319
1168032190
1237b04667
1321228709
14135ba567
15b7a6eb4
hex7d112af

131142319 has 32 divisors (see below), whose sum is σ = 169500672. Its totient is φ = 98496000.

The previous prime is 131142311. The next prime is 131142329. The reversal of 131142319 is 913241131.

It is a cyclic number.

It is not a de Polignac number, because 131142319 - 23 = 131142311 is a prime.

It is a super-2 number, since 2×1311423192 = 34396615665395522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131142293 and 131142302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544039 + ... + 544279.

It is an arithmetic number, because the mean of its divisors is an integer number (5296896).

Almost surely, 2131142319 is an apocalyptic number.

131142319 is a deficient number, since it is larger than the sum of its proper divisors (38358353).

131142319 is a wasteful number, since it uses less digits than its factorization.

131142319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487.

The product of its digits is 648, while the sum is 25.

The square root of 131142319 is about 11451.7386889503. The cubic root of 131142319 is about 508.0591606033.

The spelling of 131142319 in words is "one hundred thirty-one million, one hundred forty-two thousand, three hundred nineteen".

Divisors: 1 7 11 37 77 191 241 259 407 1337 1687 2101 2651 2849 7067 8917 14707 18557 46031 49469 62419 77737 98087 322217 506341 544159 686609 1703147 3544387 11922029 18734617 131142319