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111444320031 = 31113729245983
BaseRepresentation
bin110011111001010011…
…0010101111100011111
3101122122202011000222120
41213302212111330133
53311214221220111
6123110302314023
711023460043012
oct1476246257437
9348582130876
10111444320031
1143299460130
1219722588913
13a6807c5645
145572d51379
152d73ce4406
hex19f2995f1f

111444320031 has 16 divisors (see below), whose sum is σ = 162113295360. Its totient is φ = 67536817920.

The previous prime is 111444320011. The next prime is 111444320047. The reversal of 111444320031 is 130023444111.

It is not a de Polignac number, because 111444320031 - 25 = 111444319999 is a prime.

It is a super-2 number, since 2×1114443200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111444319983 and 111444320010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111444320011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330066 + ... + 576048.

It is an arithmetic number, because the mean of its divisors is an integer number (10132080960).

Almost surely, 2111444320031 is an apocalyptic number.

111444320031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111444320031 is a deficient number, since it is larger than the sum of its proper divisors (50668975329).

111444320031 is a wasteful number, since it uses less digits than its factorization.

111444320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259726.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 111444320031 its reverse (130023444111), we get a palindrome (241467764142).

The spelling of 111444320031 in words is "one hundred eleven billion, four hundred forty-four million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 11 33 13729 41187 151019 245983 453057 737949 2705813 8117439 3377100607 10131301821 37148106677 111444320031