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213212000000 = 2856151353
BaseRepresentation
bin1100011010010001101…
…1001110111100000000
3202101100002222211021202
43012210123032330000
511443124233000000
6241540453040332
721255410045306
oct3064433167400
9671302884252
10213212000000
118247168536a
12353a43260a8
131714b5ba15c
14a468a74276
15582d300dd5
hex31a46cef00

213212000000 has 252 divisors, whose sum is σ = 537022188528. Its totient is φ = 84480000000.

The previous prime is 213211999879. The next prime is 213212000063. The reversal of 213212000000 is 212312.

It is a happy number.

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 27 ways as a sum of consecutive naturals, for example, 603999824 + ... + 604000176.

Almost surely, 2213212000000 is an apocalyptic number.

213212000000 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 213212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268511094264).

213212000000 is an abundant number, since it is smaller than the sum of its proper divisors (323810188528).

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

213212000000 is an frugal number, since it uses more digits than its factorization.

213212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 213212000000 its reverse (212312), we get a palindrome (213212212312).

The spelling of 213212000000 in words is "two hundred thirteen billion, two hundred twelve million", and thus it is an aban number.