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131233431 = 376249211
BaseRepresentation
bin1111101001001…
…11011010010111
3100010221100102110
413310213122113
5232043432211
621004442103
73152315520
oct764473227
9303840373
10131233431
116809468a
1237b49333
132125b024
1413601847
15b7c3ea6
hex7d27697

131233431 has 8 divisors (see below), whose sum is σ = 199974784. Its totient is φ = 74990520.

The previous prime is 131233411. The next prime is 131233451. The reversal of 131233431 is 134332131.

It is an interprime number because it is at equal distance from previous prime (131233411) and next prime (131233451).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131233431 - 221 = 129136279 is a prime.

It is a super-2 number, since 2×1312334312 = 34444426824063522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6249211 = 131233431 / (1 + 3 + 1 + 2 + 3 + 3 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131233398 and 131233407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233411) 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 7 ways as a sum of consecutive naturals, for example, 3124585 + ... + 3124626.

It is an arithmetic number, because the mean of its divisors is an integer number (24996848).

Almost surely, 2131233431 is an apocalyptic number.

131233431 is a deficient number, since it is larger than the sum of its proper divisors (68741353).

131233431 is an equidigital number, since it uses as much as digits as its factorization.

131233431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6249221.

The product of its digits is 648, while the sum is 21.

The square root of 131233431 is about 11455.7160841215. The cubic root of 131233431 is about 508.1767925281.

Adding to 131233431 its reverse (134332131), we get a palindrome (265565562).

It can be divided in two parts, 1312 and 33431, that added together give a palindrome (34743).

The spelling of 131233431 in words is "one hundred thirty-one million, two hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 21 6249211 18747633 43744477 131233431