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213322343013144 = 23322962810319627
BaseRepresentation
bin110000100000001111111010…
…011110100101101100011000
31000222022102020212101021122100
4300200033322132211230120
5210430033124302410034
62033410533111323400
762635013344434561
oct6040177236455430
91028272225337570
10213322343013144
1161a75552368862
121bb13371080560
1392052979a5b21
143a96bdc2db168
15199e00c6bc099
hexc203fa7a5b18

213322343013144 has 24 divisors (see below), whose sum is σ = 577748012327460. Its totient is φ = 71107447671024.

The previous prime is 213322343013139. The next prime is 213322343013149. The reversal of 213322343013144 is 441310343223312.

213322343013144 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 2 + 34 + 301 + 314 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (213322343013139) and next prime (213322343013149).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 213322343013099 and 213322343013108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213322343013149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1481405159742 + ... + 1481405159885.

Almost surely, 2213322343013144 is an apocalyptic number.

213322343013144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213322343013144 is an abundant number, since it is smaller than the sum of its proper divisors (364425669314316).

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

213322343013144 is a wasteful number, since it uses less digits than its factorization.

213322343013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962810319639 (or 2962810319632 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 213322343013144 its reverse (441310343223312), we get a palindrome (654632686236456).

The spelling of 213322343013144 in words is "two hundred thirteen trillion, three hundred twenty-two billion, three hundred forty-three million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2962810319627 5925620639254 8888430958881 11851241278508 17776861917762 23702482557016 26665292876643 35553723835524 53330585753286 71107447671048 106661171506572 213322343013144