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210200112221220 = 22325112293171462423
BaseRepresentation
bin101111110010110100000111…
…000001010100110000100100
31000120020221020020022102110200
4233302310013001110300210
5210022404312212034340
62023020333133550500
762163312506541522
oct5762640701246044
91016227206272420
10210200112221220
1160a81404496a80
121b6aa234345430
139039a29a68954
1439c9a4dac7312
151947bc2222330
hexbf2d07054c24

210200112221220 has 288 divisors, whose sum is σ = 700813001790720. Its totient is φ = 50574998522880.

The previous prime is 210200112221179. The next prime is 210200112221227. The reversal of 210200112221220 is 22122211002012.

It is a happy number.

210200112221220 is a `hidden beast` number, since 2 + 10 + 200 + 1 + 12 + 221 + 220 = 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 = 210200112221193 and 210200112221202.

It is not an unprimeable number, because it can be changed into a prime (210200112221227) 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, 143002929 + ... + 144465351.

It is an arithmetic number, because the mean of its divisors is an integer number (2433378478440).

Almost surely, 2210200112221220 is an apocalyptic number.

210200112221220 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 210200112221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350406500895360).

210200112221220 is an abundant number, since it is smaller than the sum of its proper divisors (490612889569500).

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

210200112221220 is a wasteful number, since it uses less digits than its factorization.

210200112221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462995 (or 1462990 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210200112221220 its reverse (22122211002012), we get a palindrome (232322323223232).

The spelling of 210200112221220 in words is "two hundred ten trillion, two hundred billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".