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131142131 = 1724361173
BaseRepresentation
bin1111101000100…
…01000111110011
3100010202201011222
413310101013303
5232033022011
621002455255
73151455401
oct764210763
9303681158
10131142131
116803202a
1237b0452b
13212285c3
14135ba471
15b7a6ddb
hex7d111f3

131142131 has 24 divisors (see below), whose sum is σ = 145724304. Its totient is φ = 117895680.

The previous prime is 131142127. The next prime is 131142163. The reversal of 131142131 is 131241131.

It is not a de Polignac number, because 131142131 - 22 = 131142127 is a prime.

It is a super-2 number, since 2×1311421312 = 34396517046442322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131142181) 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, 757961 + ... + 758133.

It is an arithmetic number, because the mean of its divisors is an integer number (6071846).

Almost surely, 2131142131 is an apocalyptic number.

131142131 is a deficient number, since it is larger than the sum of its proper divisors (14582173).

131142131 is a wasteful number, since it uses less digits than its factorization.

131142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 131142131 is about 11451.7304805868. The cubic root of 131142131 is about 508.0589178260.

Adding to 131142131 its reverse (131241131), we get a palindrome (262383262).

The spelling of 131142131 in words is "one hundred thirty-one million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 17 43 61 173 289 731 1037 2623 2941 7439 10553 12427 17629 44591 49997 126463 179401 453779 758047 2149871 3049817 7714243 131142131