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111000100212 = 223230611007297
BaseRepresentation
bin110011101100000011…
…1110001110101110100
3101121111210021022221200
41213120013301311310
53304312011201322
6122554233212500
711006454166341
oct1473007616564
9347453238850
10111000100212
1143090732211
1219619861130
13a60c770891
14552dd597c8
152d49ce88ac
hex19d81f1d74

111000100212 has 36 divisors (see below), whose sum is σ = 280675529316. Its totient is φ = 36987909120.

The previous prime is 111000100207. The next prime is 111000100213. The reversal of 111000100212 is 212001000111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93522202596 + 17477897616 = 305814^2 + 132204^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111000100194 and 111000100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000100213) 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, 393453 + ... + 613844.

It is an arithmetic number, because the mean of its divisors is an integer number (7796542481).

Almost surely, 2111000100212 is an apocalyptic number.

111000100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111000100212 is an abundant number, since it is smaller than the sum of its proper divisors (169675429104).

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

111000100212 is a wasteful number, since it uses less digits than its factorization.

111000100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010368 (or 1010363 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111000100212 its reverse (212001000111), we get a palindrome (323001100323).

The spelling of 111000100212 in words is "one hundred eleven billion, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3061 6122 9183 12244 18366 27549 36732 55098 110196 1007297 2014594 3021891 4029188 6043782 9065673 12087564 18131346 36262692 3083336117 6166672234 9250008351 12333344468 18500016702 27750025053 37000033404 55500050106 111000100212