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212021201110000 = 2454337129148733
BaseRepresentation
bin110000001101010100001000…
…011000001000001111110000
31000210201000210001100010210011
4300031110020120020033300
5210242223404441010000
62030533110052544304
762442012004644412
oct6015241030101760
91023630701303704
10212021201110000
1161613760710967
121b943167322094
13913c68a148b69
143a4dc492269b2
15197a2583d52ba
hexc0d5086083f0

212021201110000 has 200 divisors, whose sum is σ = 515257118680304. Its totient is φ = 84489592320000.

The previous prime is 212021201109967. The next prime is 212021201110027. The reversal of 212021201110000 is 11102120212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4350645634 + ... + 4350694366.

Almost surely, 2212021201110000 is an apocalyptic number.

212021201110000 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 212021201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257628559340152).

212021201110000 is an abundant number, since it is smaller than the sum of its proper divisors (303235917570304).

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

212021201110000 is a wasteful number, since it uses less digits than its factorization.

212021201110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50389 (or 50368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212021201110000 its reverse (11102120212), we get a palindrome (212032303230212).

The spelling of 212021201110000 in words is "two hundred twelve trillion, twenty-one billion, two hundred one million, one hundred ten thousand".