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131105322 = 2327439803
BaseRepresentation
bin1111101000010…
…00001000101010
3100010200211200200
413310020020222
5232030332242
621002013030
73151243155
oct764101052
9303624620
10131105322
1168007407
1237aa7176
132121491a
14135aac9c
15b79b04c
hex7d0822a

131105322 has 24 divisors (see below), whose sum is σ = 284472864. Its totient is φ = 43638504.

The previous prime is 131105279. The next prime is 131105329. The reversal of 131105322 is 223501131.

131105322 is a `hidden beast` number, since 131 + 1 + 0 + 532 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131105295 and 131105304.

It is not an unprimeable number, because it can be changed into a prime (131105329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8473 + ... + 18275.

It is an arithmetic number, because the mean of its divisors is an integer number (11853036).

Almost surely, 2131105322 is an apocalyptic number.

131105322 is an abundant number, since it is smaller than the sum of its proper divisors (153367542).

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

131105322 is a wasteful number, since it uses less digits than its factorization.

131105322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10554 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131105322 is about 11450.1232307779. The cubic root of 131105322 is about 508.0113793512.

Adding to 131105322 its reverse (223501131), we get a palindrome (354606453).

The spelling of 131105322 in words is "one hundred thirty-one million, one hundred five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 743 1486 2229 4458 6687 9803 13374 19606 29409 58818 88227 176454 7283629 14567258 21850887 43701774 65552661 131105322