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210012102220200 = 233527389173191347
BaseRepresentation
bin101111110000000101000000…
…110000000101100110101000
31000112120221221111022210111120
4233300011000300011212220
5210011314241132021300
62022354121115055240
762143605446106000
oct5760050060054650
91015527844283446
10210012102220200
1160a096a5776545
121b679904141520
1390250967bc137
1439c08d617d000
151942d6b6e53a0
hexbf0140c059a8

210012102220200 has 1536 divisors, whose sum is σ = 778475888640000. Its totient is φ = 46806711705600.

The previous prime is 210012102220189. The next prime is 210012102220229. The reversal of 210012102220200 is 2022201210012.

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 210012102220200.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 605222196427 + ... + 605222196773.

It is an arithmetic number, because the mean of its divisors is an integer number (506820240000).

Almost surely, 2210012102220200 is an apocalyptic number.

210012102220200 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 210012102220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389237944320000).

210012102220200 is an abundant number, since it is smaller than the sum of its proper divisors (568463786419800).

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

210012102220200 is a wasteful number, since it uses less digits than its factorization.

210012102220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210012102220200 its reverse (2022201210012), we get a palindrome (212034303430212).

The spelling of 210012102220200 in words is "two hundred ten trillion, twelve billion, one hundred two million, two hundred twenty thousand, two hundred".