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213342222323412 = 223371328358734273
BaseRepresentation
bin110000100000100010011011…
…011000001000111011010100
31000222101022120021210212201000
4300200202123120020323110
5210430344332403322122
62033424021450103300
762636316102665430
oct6040423330107324
91028338507725630
10213342222323412
1161a82a237548a6
121bb1719a71ab30
139207115374900
143a97b665679c0
15199e7c2a480ac
hexc2089b608ed4

213342222323412 has 576 divisors, whose sum is σ = 693937748367360. Its totient is φ = 55491858100224.

The previous prime is 213342222323389. The next prime is 213342222323429. The reversal of 213342222323412 is 214323222243312.

213342222323412 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 4 + 2 + 2 + 2 + 232 + 3 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6224772708 + ... + 6224806980.

It is an arithmetic number, because the mean of its divisors is an integer number (1204753035360).

Almost surely, 2213342222323412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213342222323412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346968874183680).

213342222323412 is an abundant number, since it is smaller than the sum of its proper divisors (480595526043948).

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

213342222323412 is a wasteful number, since it uses less digits than its factorization.

213342222323412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34989 (or 34968 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 213342222323412 its reverse (214323222243312), we get a palindrome (427665444566724).

The spelling of 213342222323412 in words is "two hundred thirteen trillion, three hundred forty-two billion, two hundred twenty-two million, three hundred twenty-three thousand, four hundred twelve".