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200222020100100 = 2235219683103349787
BaseRepresentation
bin101101100001100111010010…
…011000100110000000000100
3222020221001000211121201200210
4231201213102120212000010
5202220414144121200400
61545500420510435420
760113364211114215
oct5541472230460004
9866831024551623
10200222020100100
1158884755629689
121a558451502b70
138794b17649b8b
143762b243d940c
15182337a7b2950
hexb619d2626004

200222020100100 has 288 divisors, whose sum is σ = 611295279598080. Its totient is φ = 50458437596160.

The previous prime is 200222020100099. The next prime is 200222020100107. The reversal of 200222020100100 is 1001020222002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200222020100107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021547407 + ... + 4021597193.

It is an arithmetic number, because the mean of its divisors is an integer number (2122553054160).

Almost surely, 2200222020100100 is an apocalyptic number.

200222020100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200222020100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305647639799040).

200222020100100 is an abundant number, since it is smaller than the sum of its proper divisors (411073259497980).

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

200222020100100 is a wasteful number, since it uses less digits than its factorization.

200222020100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51539 (or 51532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200222020100100 its reverse (1001020222002), we get a palindrome (201223040322102).

The spelling of 200222020100100 in words is "two hundred trillion, two hundred twenty-two billion, twenty million, one hundred thousand, one hundred".