Search a number
-
+
210212200211200 = 2852116774410589
BaseRepresentation
bin101111110010111111010111…
…100001010110001100000000
31000120022002102122222221101021
4233302333113201112030000
5210023104041223224300
62023030052425315224
762164221200010025
oct5762772741261400
91016262378887337
10210212200211200
1160a86547886840
121b6b0648635b14
13903ac051ca545
1439ca47928b54c
15194817d573d1a
hexbf2fd7856300

210212200211200 has 216 divisors, whose sum is σ = 568447318761840. Its totient is φ = 76327871692800.

The previous prime is 210212200211191. The next prime is 210212200211201. The reversal of 210212200211200 is 2112002212012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (210212200211201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45455506 + ... + 49866094.

Almost surely, 2210212200211200 is an apocalyptic number.

210212200211200 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 210212200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284223659380920).

210212200211200 is an abundant number, since it is smaller than the sum of its proper divisors (358235118550640).

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

210212200211200 is a wasteful number, since it uses less digits than its factorization.

210212200211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411303 (or 4411284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210212200211200 its reverse (2112002212012), we get a palindrome (212324202423212).

The spelling of 210212200211200 in words is "two hundred ten trillion, two hundred twelve billion, two hundred million, two hundred eleven thousand, two hundred".