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112100022221220 = 223451124126102431
BaseRepresentation
bin11001011111010001010010…
…000000001111100110100100
3112200220122202021211221010000
4121133101102000033212210
5104143121321142034340
61034230012252101300
732416650024053205
oct3137212200174644
9480818667757100
10112100022221220
113279a397114220
12106a589a764830
134a71ca9b256c7
141d979547975ac
15ce5ea3868d30
hex65f45200f9a4

112100022221220 has 240 divisors, whose sum is σ = 385223032567296. Its totient is φ = 27062999424000.

The previous prime is 112100022221219. The next prime is 112100022221227. The reversal of 112100022221220 is 22122220001211.

It is a happy number.

112100022221220 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 0 + 222 + 212 + 20 = 666.

It is a super-3 number, since 3×1121000222212203 (a number of 43 digits) contains 333 as substring.

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 = 112100022221193 and 112100022221202.

It is not an unprimeable number, because it can be changed into a prime (112100022221227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8756596 + ... + 17345835.

Almost surely, 2112100022221220 is an apocalyptic number.

112100022221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100022221220 is an abundant number, since it is smaller than the sum of its proper divisors (273123010346076).

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

112100022221220 is a wasteful number, since it uses less digits than its factorization.

112100022221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26102704 (or 26102693 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112100022221220 its reverse (22122220001211), we get a palindrome (134222242222431).

The spelling of 112100022221220 in words is "one hundred twelve trillion, one hundred billion, twenty-two million, two hundred twenty-one thousand, two hundred twenty".