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200121202100220 = 2235171953733138527
BaseRepresentation
bin101101100000001001011001…
…001010011100011111111100
3222020120101210122202200120020
4231200021121022130133330
5202212241210214201340
61545342224443052140
760103164642213342
oct5540113112343774
9866511718680506
10200121202100220
1158845a1a489125
121a5409b5811050
13878846b52464b
14375bcbc885992
1518209298479d0
hexb6025929c7fc

200121202100220 has 768 divisors, whose sum is σ = 647163629199360. Its totient is φ = 45893188583424.

The previous prime is 200121202100219. The next prime is 200121202100233. The reversal of 200121202100220 is 22001202121002.

200121202100220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200121202100220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23469117597 + ... + 23469126123.

It is an arithmetic number, because the mean of its divisors is an integer number (842660975520).

Almost surely, 2200121202100220 is an apocalyptic number.

200121202100220 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 200121202100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323581814599680).

200121202100220 is an abundant number, since it is smaller than the sum of its proper divisors (447042427099140).

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

200121202100220 is a wasteful number, since it uses less digits than its factorization.

200121202100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9014 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200121202100220 its reverse (22001202121002), we get a palindrome (222122404221222).

The spelling of 200121202100220 in words is "two hundred trillion, one hundred twenty-one billion, two hundred two million, one hundred thousand, two hundred twenty".