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111312310312 = 23719293839419
BaseRepresentation
bin110011110101010111…
…0110001000000101000
3101122022112202020200201
41213222232301000220
53310431422412222
6123045225041544
711020265012020
oct1475256610050
9348275666621
10111312310312
1143230996295
12196a63262b4
13a65c355198
14555d5caa80
152d6741a427
hex19eabb1028

111312310312 has 128 divisors (see below), whose sum is σ = 260444160000. Its totient is φ = 43517488896.

The previous prime is 111312310301. The next prime is 111312310313. The reversal of 111312310312 is 213013213111.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 111312310312.

It is not an unprimeable number, because it can be changed into a prime (111312310313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11813139 + ... + 11822557.

It is an arithmetic number, because the mean of its divisors is an integer number (2034720000).

Almost surely, 2111312310312 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 111312310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130222080000).

111312310312 is an abundant number, since it is smaller than the sum of its proper divisors (149131849688).

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

111312310312 is a wasteful number, since it uses less digits than its factorization.

111312310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 111312310312 its reverse (213013213111), we get a palindrome (324325523423).

The spelling of 111312310312 in words is "one hundred eleven billion, three hundred twelve million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 383 406 532 551 766 812 1064 1102 1532 1624 2204 2681 3064 3857 4408 5362 7277 7714 9419 10724 11107 14554 15428 18838 21448 22214 29108 30856 37676 44428 50939 58216 65933 75352 77749 88856 101878 131866 155498 178961 203756 211033 263732 273151 310996 357922 407512 422066 527464 546302 621992 715844 844132 1092604 1252727 1431688 1477231 1688264 1912057 2185208 2505454 2954462 3607477 3824114 5010908 5189869 5908924 7214954 7648228 10021816 10379738 11817848 14429908 15296456 20759476 25252339 28859816 36329083 41518952 50504678 68542063 72658166 101009356 104616833 137084126 145316332 202018712 209233666 274168252 290632664 418467332 479794441 548336504 732317831 836934664 959588882 1464635662 1919177764 1987719827 2929271324 3838355528 3975439654 5858542648 7950879308 13914038789 15901758616 27828077578 55656155156 111312310312