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131305734 = 23271042109
BaseRepresentation
bin1111101001110…
…01000100000110
3100011002000121100
413310321010012
5232103240414
621010200530
73153036360
oct764710406
9304060540
10131305734
1168133a3a
1237b83146
1321284c01
141361dd30
15b7da609
hex7d39106

131305734 has 24 divisors (see below), whose sum is σ = 325138320. Its totient is φ = 37515888.

The previous prime is 131305723. The next prime is 131305771. The reversal of 131305734 is 437503131.

It is a junction number, because it is equal to n+sod(n) for n = 131305698 and 131305707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520929 + ... + 521180.

It is an arithmetic number, because the mean of its divisors is an integer number (13547430).

Almost surely, 2131305734 is an apocalyptic number.

131305734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131305734 is an abundant number, since it is smaller than the sum of its proper divisors (193832586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131305734 is a wasteful number, since it uses less digits than its factorization.

131305734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042124 (or 1042121 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 131305734 is about 11458.8714103964. The cubic root of 131305734 is about 508.2701019860.

Adding to 131305734 its reverse (437503131), we get a palindrome (568808865).

The spelling of 131305734 in words is "one hundred thirty-one million, three hundred five thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1042109 2084218 3126327 6252654 7294763 9378981 14589526 18757962 21884289 43768578 65652867 131305734