Search a number
-
+
113231113112 = 231331197917747
BaseRepresentation
bin110100101110100011…
…0011010101110011000
3101211021021022112022002
41221131012122232120
53323344131104422
6124003451420132
711115654403205
oct1513506325630
9354237275262
10113231113112
1144026014227
1219b40a54648
13a8a6a40260
1456a238acac
152e2aade692
hex1a5d19ab98

113231113112 has 64 divisors (see below), whose sum is σ = 236147788800. Its totient is φ = 50546286720.

The previous prime is 113231113069. The next prime is 113231113133. The reversal of 113231113112 is 211311132311.

It is a congruent number.

It is an unprimeable number.

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, 6371423 + ... + 6389169.

It is an arithmetic number, because the mean of its divisors is an integer number (3689809200).

Almost surely, 2113231113112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113231113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118073894400).

113231113112 is an abundant number, since it is smaller than the sum of its proper divisors (122916675688).

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

113231113112 is a wasteful number, since it uses less digits than its factorization.

113231113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19776 (or 19772 counting only the distinct ones).

The product of its digits is 108, while the sum is 20.

Adding to 113231113112 its reverse (211311132311), we get a palindrome (324542245423).

The spelling of 113231113112 in words is "one hundred thirteen billion, two hundred thirty-one million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 1979 3224 3958 7916 15832 17747 25727 35494 51454 61349 70988 102908 122698 141976 205816 230711 245396 461422 490792 550157 797537 922844 1100314 1595074 1845688 2200628 3190148 4401256 6380296 7152041 14304082 28608164 35121313 57216328 70242626 140485252 280970504 456577069 913154138 1088760703 1826308276 2177521406 3652616552 4355042812 8710085624 14153889139 28307778278 56615556556 113231113112