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111090012 = 223111376143
BaseRepresentation
bin1101001111100…
…01100101011100
321202000221211220
412213301211130
5211414340022
615005013340
72516151405
oct647614534
9252027756
10111090012
1157786630
1231254250
131a027547
1410a7a9ac
159b4585c
hex69f195c

111090012 has 48 divisors (see below), whose sum is σ = 284884992. Its totient is φ = 33412480.

The previous prime is 111089971. The next prime is 111090041. The reversal of 111090012 is 210090111.

It is a junction number, because it is equal to n+sod(n) for n = 111089973 and 111090000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15013 + ... + 21155.

It is an arithmetic number, because the mean of its divisors is an integer number (5935104).

Almost surely, 2111090012 is an apocalyptic number.

111090012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111090012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142442496).

111090012 is an abundant number, since it is smaller than the sum of its proper divisors (173794980).

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

111090012 is a wasteful number, since it uses less digits than its factorization.

111090012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 111090012 is about 10539.9246676625. The cubic root of 111090012 is about 480.7194246588.

Subtracting 111090012 from its reverse (210090111), we obtain a palindrome (99000099).

The spelling of 111090012 in words is "one hundred eleven million, ninety thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 6028 6143 9042 12286 18084 18429 24572 36858 67573 73716 135146 202719 270292 405438 810876 841591 1683182 2524773 3366364 5049546 9257501 10099092 18515002 27772503 37030004 55545006 111090012