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131122431 = 32116312099
BaseRepresentation
bin1111101000011…
…00010011111111
3100010201201011100
413310030103333
5232031404211
621002224143
73151344066
oct764142377
9303651140
10131122431
1168019250
1237ab5053
132121c64b
14135b31dd
15b7a1156
hex7d0c4ff

131122431 has 24 divisors (see below), whose sum is σ = 207043200. Its totient is φ = 79304400.

The previous prime is 131122429. The next prime is 131122457. The reversal of 131122431 is 134221131.

It is not a de Polignac number, because 131122431 - 21 = 131122429 is a prime.

It is a super-2 number, since 2×1311224312 = 34386183822699522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122421) 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 23 ways as a sum of consecutive naturals, for example, 61420 + ... + 63518.

It is an arithmetic number, because the mean of its divisors is an integer number (8626800).

Almost surely, 2131122431 is an apocalyptic number.

131122431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131122431 is a deficient number, since it is larger than the sum of its proper divisors (75920769).

131122431 is a wasteful number, since it uses less digits than its factorization.

131122431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2744 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131122431 is about 11450.8703162685. The cubic root of 131122431 is about 508.0334765692.

Adding to 131122431 its reverse (134221131), we get a palindrome (265343562).

The spelling of 131122431 in words is "one hundred thirty-one million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 631 1893 2099 5679 6297 6941 18891 20823 23089 62469 69267 207801 1324469 3973407 11920221 14569159 43707477 131122431