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111114124420 = 225133491224533
BaseRepresentation
bin110011101111011101…
…0101111110010000100
3101121210201211100202111
41213132322233302010
53310030203440140
6123013425150404
711012340321415
oct1473672576204
9347721740674
10111114124420
114313a0322a2
121964ba8b404
13a62a284820
14554115b80c
152d54d1d7ea
hex19deeafc84

111114124420 has 48 divisors (see below), whose sum is σ = 252009097200. Its totient is φ = 40909165056.

The previous prime is 111114124367. The next prime is 111114124423. The reversal of 111114124420 is 24421411111.

It can be written as a sum of positive squares in 8 ways, for example, as 7316749444 + 103797374976 = 85538^2 + 322176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111114124391 and 111114124400.

It is not an unprimeable number, because it can be changed into a prime (111114124423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521527 + ... + 703006.

It is an arithmetic number, because the mean of its divisors is an integer number (5250189525).

Almost surely, 2111114124420 is an apocalyptic number.

111114124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111114124420 is an abundant number, since it is smaller than the sum of its proper divisors (140894972780).

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

111114124420 is a wasteful number, since it uses less digits than its factorization.

111114124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224904 (or 1224902 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 111114124420 its reverse (24421411111), we get a palindrome (135535535531).

The spelling of 111114124420 in words is "one hundred eleven billion, one hundred fourteen million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 349 698 1396 1745 3490 4537 6980 9074 18148 22685 45370 90740 1224533 2449066 4898132 6122665 12245330 15918929 24490660 31837858 63675716 79594645 159189290 318378580 427362017 854724034 1709448068 2136810085 4273620170 5555706221 8547240340 11111412442 22222824884 27778531105 55557062210 111114124420