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111111112000212 = 22354315521308801
BaseRepresentation
bin11001010000111000010010…
…010111001000001011010100
3112120102010012102210122111020
4121100320102113020023110
5104030421024133001322
61032151423514041140
732255340635632302
oct3120702227101324
9476363172718436
10111111112000212
1132448a5a077435
12105660b27191b0
1349cc96b25998c
141d61b41111272
15cca3c59c805c
hex650e125c82d4

111111112000212 has 48 divisors (see below), whose sum is σ = 259354805533824. Its totient is φ = 37023390720000.

The previous prime is 111111112000177. The next prime is 111111112000243. The reversal of 111111112000212 is 212000211111111.

It is a super-2 number, since 2×1111111120002122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111111112000191 and 111111112000200.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 359660212 + ... + 359969012.

It is an arithmetic number, because the mean of its divisors is an integer number (5403225115288).

Almost surely, 2111111112000212 is an apocalyptic number.

111111112000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111111112000212 is an abundant number, since it is smaller than the sum of its proper divisors (148243693533612).

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

111111112000212 is a wasteful number, since it uses less digits than its factorization.

111111112000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319760 (or 319758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111111112000212 its reverse (212000211111111), we get a palindrome (323111323111323).

The spelling of 111111112000212 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 5431 5521 10862 11042 16293 16563 21724 22084 32586 33126 65172 66252 308801 617602 926403 1235204 1852806 3705612 29984551 59969102 89953653 119938204 179907306 359814612 1677098231 1704890321 3354196462 3409780642 5031294693 5114670963 6708392924 6819561284 10062589386 10229341926 20125178772 20458683852 9259259333351 18518518666702 27777778000053 37037037333404 55555556000106 111111112000212