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131113122 = 237363709
BaseRepresentation
bin1111101000010…
…10000010100010
3100010201020101120
413310022002202
5232031104442
621002113110
73151305000
oct764120242
9303636346
10131113122
1168012258
1237aab796
132121833a
14135ada70
15b79d4ec
hex7d0a0a2

131113122 has 32 divisors (see below), whose sum is σ = 305808000. Its totient is φ = 37460304.

The previous prime is 131113111. The next prime is 131113123. The reversal of 131113122 is 221311131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131113123) 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 15 ways as a sum of consecutive naturals, for example, 29797 + ... + 33912.

It is an arithmetic number, because the mean of its divisors is an integer number (9556500).

Almost surely, 2131113122 is an apocalyptic number.

131113122 is an abundant number, since it is smaller than the sum of its proper divisors (174694878).

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

131113122 is an equidigital number, since it uses as much as digits as its factorization.

131113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63735 (or 63721 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 131113122 is about 11450.4638333999. The cubic root of 131113122 is about 508.0214537202.

Adding to 131113122 its reverse (221311131), we get a palindrome (352424253).

It can be divided in two parts, 1311131 and 22, that multiplied together give a palindrome (28844882).

The spelling of 131113122 in words is "one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 63709 127418 191127 382254 445963 891926 1337889 2675778 3121741 6243482 9365223 18730446 21852187 43704374 65556561 131113122