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131224431 = 31319177091
BaseRepresentation
bin1111101001001…
…01001101101111
3100010220220002010
413310211031233
5232043140211
621004332303
73152250342
oct764451557
9303826063
10131224431
1168088948
1237b44093
1321256bc0
14135dc459
15b7c14a6
hex7d2536f

131224431 has 16 divisors (see below), whose sum is σ = 198343040. Its totient is φ = 76502880.

The previous prime is 131224427. The next prime is 131224441. The reversal of 131224431 is 134422131.

It is not a de Polignac number, because 131224431 - 22 = 131224427 is a prime.

It is a super-2 number, since 2×1312244312 = 34439702582547522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131224398 and 131224407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131224441) 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, 87805 + ... + 89286.

It is an arithmetic number, because the mean of its divisors is an integer number (12396440).

Almost surely, 2131224431 is an apocalyptic number.

131224431 is a deficient number, since it is larger than the sum of its proper divisors (67118609).

131224431 is a wasteful number, since it uses less digits than its factorization.

131224431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177126.

The product of its digits is 576, while the sum is 21.

The square root of 131224431 is about 11455.3232603886. The cubic root of 131224431 is about 508.1651753265.

Adding to 131224431 its reverse (134422131), we get a palindrome (265646562).

The spelling of 131224431 in words is "one hundred thirty-one million, two hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 741 177091 531273 2302183 3364729 6906549 10094187 43741477 131224431