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111000009972 = 22319225623271
BaseRepresentation
bin110011101100000011…
…1011011110011110100
3101121111210002202011110
41213120013123303310
53304312000304342
6122554231235020
711006453342265
oct1473007336364
9347453082143
10111000009972
1143090680435
1219619818a70
13a60c73b797
14552dd3496c
152d49ccbc9c
hex19d81dbcf4

111000009972 has 36 divisors (see below), whose sum is σ = 273349065696. Its totient is φ = 35052633360.

The previous prime is 111000009971. The next prime is 111000010007. The reversal of 111000009972 is 279900000111.

111000009972 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000009971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12807304 + ... + 12815967.

Almost surely, 2111000009972 is an apocalyptic number.

111000009972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111000009972 is an abundant number, since it is smaller than the sum of its proper divisors (162349055724).

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

111000009972 is a wasteful number, since it uses less digits than its factorization.

111000009972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25623316 (or 25623295 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The spelling of 111000009972 in words is "one hundred eleven billion, nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332 25623271 51246542 76869813 102493084 153739626 307479252 486842149 973684298 1460526447 1947368596 2921052894 5842105788 9250000831 18500001662 27750002493 37000003324 55500004986 111000009972