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112220212200001 = 10156913011500929
BaseRepresentation
bin11001100001000001001101…
…111000101000001001000001
3112201100010222112111110111121
4121201001031320220021001
5104202103443310400001
61034401130452312241
732431433321034463
oct3141011570501101
9481303875443447
10112220212200001
11328363632371a4
1210705042012681
134a80422498949
141d9d6b7034133
15ce918a3496a1
hex66104de28241

112220212200001 has 16 divisors (see below), whose sum is σ = 113617819400400. Its totient is φ = 110828523520000.

The previous prime is 112220212199993. The next prime is 112220212200007. The reversal of 112220212200001 is 100002212022211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2581407768976 + 109638804431025 = 1606676^2 + 10470855^2 .

It is a cyclic number.

It is not a de Polignac number, because 112220212200001 - 23 = 112220212199993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112220212200007) 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 15 ways as a sum of consecutive naturals, for example, 74016705 + ... + 75517633.

It is an arithmetic number, because the mean of its divisors is an integer number (7101113712525).

Almost surely, 2112220212200001 is an apocalyptic number.

It is an amenable number.

112220212200001 is a deficient number, since it is larger than the sum of its proper divisors (1397607200399).

112220212200001 is a wasteful number, since it uses less digits than its factorization.

112220212200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502900.

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

Adding to 112220212200001 its reverse (100002212022211), we get a palindrome (212222424222212).

The spelling of 112220212200001 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred twelve million, two hundred thousand, one".

Divisors: 1 101 569 1301 57469 131401 740269 1500929 74767169 151593829 854028601 1952708629 86256888701 197223571529 1111091209901 112220212200001