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200222022102120 = 233253137721967169
BaseRepresentation
bin101101100001100111010010…
…100000001110110001101000
3222020221001000222101102221200
4231201213102200032301220
5202220414200124231440
61545500421021404200
760113364234123054
oct5541472240166150
9866831028342850
10200222022102120
1158884756776847
121a558452109660
138794b17b9b1c5
143762b2479ac64
15182337aa5ac30
hexb619d280ec68

200222022102120 has 384 divisors, whose sum is σ = 689972819328000. Its totient is φ = 50265994936320.

The previous prime is 200222022102107. The next prime is 200222022102127. The reversal of 200222022102120 is 21201220222002.

200222022102120 is a `hidden beast` number, since 20 + 0 + 2 + 220 + 2 + 210 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200222022102093 and 200222022102102.

It is not an unprimeable number, because it can be changed into a prime (200222022102127) 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, 2980835896 + ... + 2980903064.

It is an arithmetic number, because the mean of its divisors is an integer number (1796804217000).

Almost surely, 2200222022102120 is an apocalyptic number.

200222022102120 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 200222022102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344986409664000).

200222022102120 is an abundant number, since it is smaller than the sum of its proper divisors (489750797225880).

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

200222022102120 is a wasteful number, since it uses less digits than its factorization.

200222022102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74473 (or 74466 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200222022102120 its reverse (21201220222002), we get a palindrome (221423242324122).

The spelling of 200222022102120 in words is "two hundred trillion, two hundred twenty-two billion, twenty-two million, one hundred two thousand, one hundred twenty".