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131235307 = 7312832137
BaseRepresentation
bin1111101001001…
…11110111101011
3100010221102222221
413310213313223
5232044012212
621004454511
73152324140
oct764476753
9303842887
10131235307
1168096035
1237b4a437
132125bb38
14136023c7
15b7c4807
hex7d27deb

131235307 has 16 divisors (see below), whose sum is σ = 155441152. Its totient is φ = 108423360.

The previous prime is 131235289. The next prime is 131235329. The reversal of 131235307 is 703532131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131235307 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131235397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60343 + ... + 62479.

It is an arithmetic number, because the mean of its divisors is an integer number (9715072).

Almost surely, 2131235307 is an apocalyptic number.

131235307 is a deficient number, since it is larger than the sum of its proper divisors (24205845).

131235307 is a wasteful number, since it uses less digits than its factorization.

131235307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 131235307 is about 11455.7979643498. The cubic root of 131235307 is about 508.1792140024.

Adding to 131235307 its reverse (703532131), we get a palindrome (834767438).

The spelling of 131235307 in words is "one hundred thirty-one million, two hundred thirty-five thousand, three hundred seven".

Divisors: 1 7 31 217 283 1981 2137 8773 14959 61411 66247 463729 604771 4233397 18747901 131235307