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2212110100200 = 233527111310136467
BaseRepresentation
bin100000001100001100000…
…010010110011011101000
321211110211202102100220010
4200030030002112123220
5242220400141201300
64412121312331520
7315551102415450
oct40141402263350
97743752370803
102212110100200
11783172533560
122b887b243ba0
131307a7786bc0
14790d104cd60
153c81e6bea50
hex2030c0966e8

2212110100200 has 768 divisors, whose sum is σ = 9298744842240. Its totient is φ = 420088320000.

The previous prime is 2212110100181. The next prime is 2212110100217. The reversal of 2212110100200 is 20010112122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60642367 + ... + 60678833.

It is an arithmetic number, because the mean of its divisors is an integer number (12107740680).

Almost surely, 22212110100200 is an apocalyptic number.

2212110100200 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 2212110100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649372421120).

2212110100200 is an abundant number, since it is smaller than the sum of its proper divisors (7086634742040).

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

2212110100200 is a wasteful number, since it uses less digits than its factorization.

2212110100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36618 (or 36609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2212110100200 its reverse (20010112122), we get a palindrome (2232120212322).

The spelling of 2212110100200 in words is "two trillion, two hundred twelve billion, one hundred ten million, one hundred thousand, two hundred".