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212021100000 = 253255376367
BaseRepresentation
bin1100010101110101110…
…0010011110111100000
3202021021010002211121100
43011131130103313200
511433204400200000
6241222351554400
721214036420533
oct3053534236740
9667233084540
10212021100000
1181a10424596
123511152ba00
1316cbb9609b8
14a394832a1a
1557ad9b1a00
hex315d713de0

212021100000 has 432 divisors, whose sum is σ = 774110203776. Its totient is φ = 55002240000.

The previous prime is 212021099929. The next prime is 212021100059. The reversal of 212021100000 is 1120212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33296817 + ... + 33303183.

It is an arithmetic number, because the mean of its divisors is an integer number (1791921768).

Almost surely, 2212021100000 is an apocalyptic number.

212021100000 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 212021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387055101888).

212021100000 is an abundant number, since it is smaller than the sum of its proper divisors (562089103776).

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

212021100000 is an equidigital number, since it uses as much as digits as its factorization.

212021100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212021100000 its reverse (1120212), we get a palindrome (212022220212).

The spelling of 212021100000 in words is "two hundred twelve billion, twenty-one million, one hundred thousand".