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111312111021 = 319371031074789
BaseRepresentation
bin110011110101010111…
…0000000010110101101
3101122022112101010022120
41213222232000112231
53310431400023041
6123045220503153
711020263222006
oct1475256002655
9348275333276
10111312111021
114323086a591
12196a624aab9
13a65c2b5567
14555d5781ad
152d673cb366
hex19eab805ad

111312111021 has 64 divisors (see below), whose sum is σ = 163555891200. Its totient is φ = 67091141376.

The previous prime is 111312111019. The next prime is 111312111041. The reversal of 111312111021 is 120111213111.

It is not a de Polignac number, because 111312111021 - 21 = 111312111019 is a prime.

It is a super-5 number, since 5×1113121110215 (a number of 56 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111312111041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23240895 + ... + 23245683.

It is an arithmetic number, because the mean of its divisors is an integer number (2555560800).

Almost surely, 2111312111021 is an apocalyptic number.

It is an amenable number.

111312111021 is a deficient number, since it is larger than the sum of its proper divisors (52243780179).

111312111021 is a wasteful number, since it uses less digits than its factorization.

111312111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 111312111021 its reverse (120111213111), we get a palindrome (231423324132).

The spelling of 111312111021 in words is "one hundred eleven billion, three hundred twelve million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 19 37 57 103 107 111 309 321 703 1957 2033 2109 3811 3959 4789 5871 6099 11021 11433 11877 14367 33063 72409 75221 90991 177193 209399 217227 225663 272973 407777 493267 512423 531579 628197 1223331 1479801 1537269 3366667 7747763 9372073 9736037 10100001 18250879 18959651 23243289 28116219 29208111 52779569 54752637 56878953 158338707 346766701 360233369 1002811811 1040300103 1080700107 1952844053 3008435433 5858532159 37104037007 111312111021