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111144402300132 = 22325984575158841
BaseRepresentation
bin11001010001010111010010…
…100111100010110011100100
3112120112022010111101002211100
4121101113102213202303210
5104031442213442101012
61032215011124440100
732260626620543265
oct3121272247426344
9476468114332740
10111144402300132
113246109262a4a3
1210570643549030
134a02b451b8bb6
141d635bc52c96c
15ccb1c33da8dc
hex6515d29e2ce4

111144402300132 has 36 divisors (see below), whose sum is σ = 280948874172876. Its totient is φ = 37048065012480.

The previous prime is 111144402300091. The next prime is 111144402300133. The reversal of 111144402300132 is 231003204441111.

It is a happy number.

111144402300132 is a `hidden beast` number, since 11 + 114 + 4 + 402 + 3 + 0 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28606922919936 + 82537479380196 = 5348544^2 + 9085014^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 111144402300096 and 111144402300105.

It is not an unprimeable number, because it can be changed into a prime (111144402300133) 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 11 ways as a sum of consecutive naturals, for example, 18965032 + ... + 24123872.

It is an arithmetic number, because the mean of its divisors is an integer number (7804135393691).

Almost surely, 2111144402300132 is an apocalyptic number.

111144402300132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111144402300132 is an abundant number, since it is smaller than the sum of its proper divisors (169804471872744).

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

111144402300132 is a wasteful number, since it uses less digits than its factorization.

111144402300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757308 (or 5757303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 111144402300132 its reverse (231003204441111), we get a palindrome (342147606741243).

The spelling of 111144402300132 in words is "one hundred eleven trillion, one hundred forty-four billion, four hundred two million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 598457 1196914 1795371 2393828 3590742 5158841 5386113 7181484 10317682 10772226 15476523 20635364 21544452 30953046 46429569 61906092 92859138 185718276 3087344508337 6174689016674 9262033525011 12349378033348 18524067050022 27786100575033 37048134100044 55572201150066 111144402300132