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111042222100 = 225223157307511
BaseRepresentation
bin110011101101010100…
…0011101100000010100
3101121121201112100022121
41213122220131200110
53304403302101400
6123002340105324
711010505212565
oct1473250354024
9347551470277
10111042222100
1143102491a97
121962b995244
13a6183cb184
1455357a216c
152d4d86921a
hex19daa1d814

111042222100 has 72 divisors (see below), whose sum is σ = 253040554368. Its totient is φ = 42214972800.

The previous prime is 111042222059. The next prime is 111042222103. The reversal of 111042222100 is 1222240111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111042222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207345 + ... + 514855.

It is an arithmetic number, because the mean of its divisors is an integer number (3514452144).

Almost surely, 2111042222100 is an apocalyptic number.

111042222100 is a gapful number since it is divisible by the number (10) 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 111042222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126520277184).

111042222100 is an abundant number, since it is smaller than the sum of its proper divisors (141998332268).

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

111042222100 is a wasteful number, since it uses less digits than its factorization.

111042222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307705 (or 307698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 111042222100 its reverse (1222240111), we get a palindrome (112264462211).

The spelling of 111042222100 in words is "one hundred eleven billion, forty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 157 230 314 460 575 628 785 1150 1570 2300 3140 3611 3925 7222 7850 14444 15700 18055 36110 72220 90275 180550 307511 361100 615022 1230044 1537555 3075110 6150220 7072753 7687775 14145506 15375550 28291012 30751100 35363765 48279227 70727530 96558454 141455060 176818825 193116908 241396135 353637650 482792270 707275300 965584540 1110422221 1206980675 2220844442 2413961350 4441688884 4827922700 5552111105 11104222210 22208444420 27760555525 55521111050 111042222100