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221323211300 = 22522213232113
BaseRepresentation
bin1100111000011111100…
…1000011001000100100
3210011021101200001102002
43032013321003020210
512111232220230200
6245401404304432
721663411153542
oct3160771031044
9704241601362
10221323211300
1185954201484
1236a88842118
1317b41b9aa79
14a9d800ad92
155b55467bd5
hex3387e43224

221323211300 has 18 divisors (see below), whose sum is σ = 480271368738. Its totient is φ = 88529284480.

The previous prime is 221323211251. The next prime is 221323211309. The reversal of 221323211300 is 3112323122.

It can be written as a sum of positive squares in 3 ways, for example, as 2694025216 + 218629186084 = 51904^2 + 467578^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (221323211309) 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 5 ways as a sum of consecutive naturals, for example, 1106615957 + ... + 1106616156.

Almost surely, 2221323211300 is an apocalyptic number.

221323211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221323211300 is an abundant number, since it is smaller than the sum of its proper divisors (258948157438).

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

221323211300 is a wasteful number, since it uses less digits than its factorization.

221323211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213232127 (or 2213232120 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 221323211300 its reverse (3112323122), we get a palindrome (224435534422).

The spelling of 221323211300 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2213232113 4426464226 8852928452 11066160565 22132321130 44264642260 55330802825 110661605650 221323211300