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210211221120 = 27351917893221
BaseRepresentation
bin1100001111000110010…
…0001010111010000000
3202002120222111110112020
43003301210022322000
511421003033033440
6240323020001440
721121141616655
oct3036144127200
9662528443466
10210211221120
118117183281a
12348a7390280
1316a909c2254
14a262307c2c
155704b563d0
hex30f190ae80

210211221120 has 256 divisors, whose sum is σ = 705927312000. Its totient is φ = 53059829760.

The previous prime is 210211221097. The next prime is 210211221151. The reversal of 210211221120 is 21122112012.

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 210211221120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65261110 + ... + 65264330.

Almost surely, 2210211221120 is an apocalyptic number.

210211221120 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 210211221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352963656000).

210211221120 is an abundant number, since it is smaller than the sum of its proper divisors (495716090880).

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

210211221120 is a wasteful number, since it uses less digits than its factorization.

210211221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210211221120 its reverse (21122112012), we get a palindrome (231333333132).

The spelling of 210211221120 in words is "two hundred ten billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".