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111313011012 = 223714987710141
BaseRepresentation
bin110011110101011000…
…1011100000101000100
3101122022121001211212120
41213222301130011010
53310432112323022
6123045252045540
711020303660620
oct1475261340504
9348277054776
10111313011012
1143231324785
12196a66038b0
13a65c53c0b8
14555d730180
152d67507d5c
hex19eac5c144

111313011012 has 96 divisors (see below), whose sum is σ = 299197113600. Its totient is φ = 31551137280.

The previous prime is 111313011011. The next prime is 111313011037. The reversal of 111313011012 is 210110313111.

It is a junction number, because it is equal to n+sod(n) for n = 111313010982 and 111313011000.

It is not an unprimeable number, because it can be changed into a prime (111313011011) 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, 10971462 + ... + 10981602.

It is an arithmetic number, because the mean of its divisors is an integer number (3116636600).

Almost surely, 2111313011012 is an apocalyptic number.

111313011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111313011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149598556800).

111313011012 is an abundant number, since it is smaller than the sum of its proper divisors (187884102588).

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

111313011012 is a wasteful number, since it uses less digits than its factorization.

111313011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11181 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 111313011012 its reverse (210110313111), we get a palindrome (321423324123).

The spelling of 111313011012 in words is "one hundred eleven billion, three hundred thirteen million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 877 894 1043 1754 1788 2086 2631 3129 3508 4172 5262 6139 6258 10141 10524 12278 12516 18417 20282 24556 30423 36834 40564 60846 70987 73668 121692 130673 141974 212961 261346 283948 392019 425922 522692 784038 851844 914711 1511009 1568076 1829422 2744133 3022018 3658844 4533027 5488266 6044036 8893657 9066054 10577063 10976532 17787314 18132108 21154126 26680971 31731189 35574628 42308252 53361942 62255599 63462378 106723884 124511198 126924756 186766797 249022396 373533594 747067188 1325154893 2650309786 3975464679 5300619572 7950929358 9276084251 15901858716 18552168502 27828252753 37104337004 55656505506 111313011012