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111103400144 = 24111973944959
BaseRepresentation
bin110011101111001000…
…1110101100011010000
3101121202222122111211002
41213132101311203100
53310014432301034
6123012403241132
711012150214332
oct1473621654320
9347688574732
10111103400144
1143133a77a60
12196483791a8
13a627c9b3b9
14553d969452
152d53e00e7e
hex19de4758d0

111103400144 has 80 divisors (see below), whose sum is σ = 247531776000. Its totient is φ = 47777765760.

The previous prime is 111103400117. The next prime is 111103400153. The reversal of 111103400144 is 441004301111.

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, 2448737 + ... + 2493695.

It is an arithmetic number, because the mean of its divisors is an integer number (3094147200).

Almost surely, 2111103400144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111103400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123765888000).

111103400144 is an abundant number, since it is smaller than the sum of its proper divisors (136428375856).

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

111103400144 is a wasteful number, since it uses less digits than its factorization.

111103400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45736 (or 45730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 111103400144 its reverse (441004301111), we get a palindrome (552107701255).

The spelling of 111103400144 in words is "one hundred eleven billion, one hundred three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 739 836 1478 1672 2956 3344 5912 8129 11824 14041 16258 28082 32516 44959 56164 65032 89918 112328 130064 154451 179836 224656 308902 359672 494549 617804 719344 854221 989098 1235608 1708442 1978196 2471216 3416884 3956392 6833768 7912784 9396431 13667536 18792862 33224701 37585724 66449402 75171448 132898804 150342896 265797608 365471711 531595216 631269319 730943422 1262538638 1461886844 2525077276 2923773688 5050154552 5847547376 6943962509 10100309104 13887925018 27775850036 55551700072 111103400144