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212100000 = 253557101
BaseRepresentation
bin11001010010001…
…10001110100000
3112210002210111120
430221012032200
5413244200000
633014012240
75153551230
oct1451061640
9483083446
10212100000
11a97a7962
125b047080
1334c32978
1420251cc0
15139496a0
hexca463a0

212100000 has 288 divisors, whose sum is σ = 803198592. Its totient is φ = 48000000.

The previous prime is 212099981. The next prime is 212100017. The reversal of 212100000 is 1212.

Adding to 212100000 its reverse (1212), we get a palindrome (212101212).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2099950 + ... + 2100050.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2212100000 is an apocalyptic number.

212100000 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 212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401599296).

212100000 is an abundant number, since it is smaller than the sum of its proper divisors (591098592).

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

212100000 is an equidigital number, since it uses as much as digits as its factorization.

212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 212100000 is about 14563.6533878007. The cubic root of 212100000 is about 596.3669346842.

The spelling of 212100000 in words is "two hundred twelve million, one hundred thousand".