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212322100321 = 1744927816337
BaseRepresentation
bin1100010110111101100…
…0100010010001100001
3202022001002111020102101
43011233120202101201
511434313424202241
6241312303250401
721224353034512
oct3055730422141
9668032436371
10212322100321
1182055321591
12351962a9a01
131703911bbb6
14a3c27c6a09
1557ca11be31
hex316f622461

212322100321 has 8 divisors (see below), whose sum is σ = 225312337800. Its totient is φ = 199387496448.

The previous prime is 212322100283. The next prime is 212322100349. The reversal of 212322100321 is 123001223212.

It can be written as a sum of positive squares in 4 ways, for example, as 69316358400 + 143005741921 = 263280^2 + 378161^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212322100321 - 223 = 212313711713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212322100381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13900536 + ... + 13915801.

It is an arithmetic number, because the mean of its divisors is an integer number (28164042225).

Almost surely, 2212322100321 is an apocalyptic number.

It is an amenable number.

212322100321 is a deficient number, since it is larger than the sum of its proper divisors (12990237479).

212322100321 is a wasteful number, since it uses less digits than its factorization.

212322100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27816803.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212322100321 its reverse (123001223212), we get a palindrome (335323323533).

The spelling of 212322100321 in words is "two hundred twelve billion, three hundred twenty-two million, one hundred thousand, three hundred twenty-one".

Divisors: 1 17 449 7633 27816337 472877729 12489535313 212322100321