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131243431 = 11192772267
BaseRepresentation
bin1111101001010…
…01110110100111
3100010221212010211
413310221312213
5232044242211
621005000251
73152356624
oct764516647
9303855124
10131243431
11680a1150
1237b53087
1321262747
141360534b
15b7c6e21
hex7d29da7

131243431 has 16 divisors (see below), whose sum is σ = 151320960. Its totient is φ = 112574880.

The previous prime is 131243347. The next prime is 131243443. The reversal of 131243431 is 134342131.

It is not a de Polignac number, because 131243431 - 215 = 131210663 is a prime.

It is a super-2 number, since 2×1312434312 = 34449676361303522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131243461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56760 + ... + 59026.

It is an arithmetic number, because the mean of its divisors is an integer number (9457560).

Almost surely, 2131243431 is an apocalyptic number.

131243431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131243431 is a deficient number, since it is larger than the sum of its proper divisors (20077529).

131243431 is a wasteful number, since it uses less digits than its factorization.

131243431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574.

The product of its digits is 864, while the sum is 22.

The square root of 131243431 is about 11456.1525391381. The cubic root of 131243431 is about 508.1896999070.

Adding to 131243431 its reverse (134342131), we get a palindrome (265585562).

The spelling of 131243431 in words is "one hundred thirty-one million, two hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 11 19 209 277 2267 3047 5263 24937 43073 57893 473803 627959 6907549 11931221 131243431