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313112200112 = 24318943316381
BaseRepresentation
bin1001000111001101111…
…00010000001110110000
31002221012022211210211022
410203212330100032300
520112223210400422
6355501453035012
731423132534115
oct4434674201660
91087168753738
10313112200112
11110876746318
1250824785a68
13236ac5261ba
141122475690c
1582288c5342
hex48e6f103b0

313112200112 has 80 divisors (see below), whose sum is σ = 634761872640. Its totient is φ = 149448499200.

The previous prime is 313112200057. The next prime is 313112200123. The reversal of 313112200112 is 211002211313.

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, 19106162 + ... + 19122542.

It is an arithmetic number, because the mean of its divisors is an integer number (7934523408).

Almost surely, 2313112200112 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 313112200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317380936320).

313112200112 is an abundant number, since it is smaller than the sum of its proper divisors (321649672528).

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

313112200112 is a wasteful number, since it uses less digits than its factorization.

313112200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16942 (or 16936 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 313112200112 its reverse (211002211313), we get a palindrome (524114411425).

The spelling of 313112200112 in words is "three hundred thirteen billion, one hundred twelve million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 89 124 178 248 356 433 496 712 866 1424 1732 2759 3464 5518 6928 11036 13423 16381 22072 26846 32762 38537 44144 53692 65524 77074 107384 131048 154148 214768 262096 308296 507811 616592 1015622 1194647 1457909 2031244 2389294 2915818 4062488 4778588 5831636 7092973 8124976 9557176 11663272 14185946 19114352 23326544 28371892 45195179 56743784 90390358 113487568 180780716 219882163 361561432 439764326 631274597 723122864 879528652 1262549194 1759057304 2525098388 3518114608 5050196776 10100393552 19569512507 39139025014 78278050028 156556100056 313112200112