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131112313122 = 23710928639649
BaseRepresentation
bin111101000011011100…
…1110010000100100010
3110112102102221121101010
41322012321302010202
54122004223004442
6140122051521350
712321041162520
oct1720671620442
9415372847333
10131112313122
115067153447a
12214b12b9256
13c496476b8b
1464bb0d1310
15362582cb9c
hex1e86e72122

131112313122 has 32 divisors (see below), whose sum is σ = 302434704000. Its totient is φ = 37116983808.

The previous prime is 131112313103. The next prime is 131112313139. The reversal of 131112313122 is 221313211131.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14315247 + ... + 14324402.

It is an arithmetic number, because the mean of its divisors is an integer number (9451084500).

Almost surely, 2131112313122 is an apocalyptic number.

131112313122 is an abundant number, since it is smaller than the sum of its proper divisors (171322390878).

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

131112313122 is a wasteful number, since it uses less digits than its factorization.

131112313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28639770.

The product of its digits is 216, while the sum is 21.

Adding to 131112313122 its reverse (221313211131), we get a palindrome (352425524253).

The spelling of 131112313122 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 654 763 1526 2289 4578 28639649 57279298 85918947 171837894 200477543 400955086 601432629 1202865258 3121721741 6243443482 9365165223 18730330446 21852052187 43704104374 65556156561 131112313122