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210211221220 = 2257112132101727
BaseRepresentation
bin1100001111000110010…
…0001010111011100100
3202002120222111110122221
43003301210022323210
511421003033034340
6240323020002124
721121141620160
oct3036144127344
9662528443587
10210211221220
1181171832900
12348a7390344
1316a909c2300
14a262307ca0
155704b5644a
hex30f190aee4

210211221220 has 432 divisors, whose sum is σ = 607258439424. Its totient is φ = 59799168000.

The previous prime is 210211221217. The next prime is 210211221251. The reversal of 210211221220 is 22122112012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210211221194 and 210211221203.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 289148497 + ... + 289149223.

It is an arithmetic number, because the mean of its divisors is an integer number (1405690832).

Almost surely, 2210211221220 is an apocalyptic number.

210211221220 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 210211221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303629219712).

210211221220 is an abundant number, since it is smaller than the sum of its proper divisors (397047218204).

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

210211221220 is a wasteful number, since it uses less digits than its factorization.

210211221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210211221220 its reverse (22122112012), we get a palindrome (232333333232).

The spelling of 210211221220 in words is "two hundred ten billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".