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212200021320 = 233572130127739
BaseRepresentation
bin1100010110100000011…
…0110101110101001000
3202021201120202222111220
43011220012311311020
511434041201140240
6241252222522040
721221341264200
oct3055006656510
9667646688456
10212200021320
1181aa241a851
1235161436320
1317019a478c1
14a3b04c9400
1557be5555d0
hex31681b5d48

212200021320 has 192 divisors, whose sum is σ = 741130689600. Its totient is φ = 48463833600.

The previous prime is 212200021289. The next prime is 212200021379. The reversal of 212200021320 is 23120002212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212200021320.

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 47 ways as a sum of consecutive naturals, for example, 7636011 + ... + 7663749.

It is an arithmetic number, because the mean of its divisors is an integer number (3860055675).

Almost surely, 2212200021320 is an apocalyptic number.

212200021320 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 212200021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370565344800).

212200021320 is an abundant number, since it is smaller than the sum of its proper divisors (528930668280).

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

212200021320 is a wasteful number, since it uses less digits than its factorization.

212200021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29068 (or 29057 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212200021320 its reverse (23120002212), we get a palindrome (235320023532).

The spelling of 212200021320 in words is "two hundred twelve billion, two hundred million, twenty-one thousand, three hundred twenty".