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111438012 = 22375325031
BaseRepresentation
bin1101010010001…
…10100010111100
321202200122012210
412221012202330
5212012004022
615020300420
72522131110
oct651064274
9252618183
10111438012
11579a4034
12313a1710
131a119a6a
1410b2b740
159bb3a0c
hex6a468bc

111438012 has 48 divisors (see below), whose sum is σ = 302787072. Its totient is φ = 31237440.

The previous prime is 111438011. The next prime is 111438017. The reversal of 111438012 is 210834111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 111438012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111438011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8064 + ... + 16967.

It is an arithmetic number, because the mean of its divisors is an integer number (6308064).

Almost surely, 2111438012 is an apocalyptic number.

111438012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111438012 is an abundant number, since it is smaller than the sum of its proper divisors (191349060).

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

111438012 is a wasteful number, since it uses less digits than its factorization.

111438012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25098 (or 25096 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 111438012 is about 10556.4204160312. The cubic root of 111438012 is about 481.2208678154.

The spelling of 111438012 in words is "one hundred eleven million, four hundred thirty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 25031 50062 75093 100124 150186 175217 300372 350434 525651 700868 1051302 1326643 2102604 2653286 3979929 5306572 7959858 9286501 15919716 18573002 27859503 37146004 55719006 111438012