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1000222112200 = 23525001110561
BaseRepresentation
bin11101000111000011110…
…00100011100111001000
310112121202012100220010211
432203201320203213020
5112341423330042300
62043255023050504
7132156302450323
oct16434170434710
93477665326124
101000222112200
113562123410a3
12141a24440a34
13734222c578c
14365a7b437ba
151b040edc4ba
hexe8e1e239c8

1000222112200 has 24 divisors (see below), whose sum is σ = 2325516411330. Its totient is φ = 400088844800.

The previous prime is 1000222112189. The next prime is 1000222112207. The reversal of 1000222112200 is 22112220001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 566728918596 + 433493193604 = 752814^2 + 658402^2 .

It is not an unprimeable number, because it can be changed into a prime (1000222112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2500555081 + ... + 2500555480.

Almost surely, 21000222112200 is an apocalyptic number.

1000222112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000222112200 is an abundant number, since it is smaller than the sum of its proper divisors (1325294299130).

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

1000222112200 is a wasteful number, since it uses less digits than its factorization.

1000222112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001110577 (or 5001110568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1000222112200 its reverse (22112220001), we get a palindrome (1022334332201).

The spelling of 1000222112200 in words is "one trillion, two hundred twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5001110561 10002221122 20004442244 25005552805 40008884488 50011105610 100022211220 125027764025 200044422440 250055528050 500111056100 1000222112200