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112120133220 = 223254571362997
BaseRepresentation
bin110100001101011100…
…0010111011001100100
3101201101211210220101200
41220122320113121210
53314110223230340
6123301323322500
711046304256604
oct1503270273144
9351354726350
10112120133220
114360598a627
1219890980430
13a75a8169c4
1455d89d0c04
152db32da330
hex1a1ae17664

112120133220 has 72 divisors (see below), whose sum is σ = 340842183864. Its totient is φ = 29833256448.

The previous prime is 112120133137. The next prime is 112120133233. The reversal of 112120133220 is 22331021211.

112120133220 is a `hidden beast` number, since 112 + 1 + 201 + 332 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7641207396 + 104478925824 = 87414^2 + 323232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112120133193 and 112120133202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599239 + ... + 763758.

Almost surely, 2112120133220 is an apocalyptic number.

112120133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112120133220 is an abundant number, since it is smaller than the sum of its proper divisors (228722050644).

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

112120133220 is a wasteful number, since it uses less digits than its factorization.

112120133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363469 (or 1363464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112120133220 its reverse (22331021211), we get a palindrome (134451154431).

The spelling of 112120133220 in words is "one hundred twelve billion, one hundred twenty million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 914 1371 1828 2285 2742 4113 4570 5484 6855 8226 9140 13710 16452 20565 27420 41130 82260 1362997 2725994 4088991 5451988 6814985 8177982 12266973 13629970 16355964 20444955 24533946 27259940 40889910 49067892 61334865 81779820 122669730 245339460 622889629 1245779258 1868668887 2491558516 3114448145 3737337774 5606006661 6228896290 7474675548 9343344435 11212013322 12457792580 18686688870 22424026644 28030033305 37373377740 56060066610 112120133220