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213332321021 is a prime number
BaseRepresentation
bin1100011010101110011…
…0001110001011111101
3202101122111101202200212
43012223212032023331
511443401033233041
6242000432002205
721261400544411
oct3065346161375
9671574352625
10213332321021
1182523596326
1235418690365
131716a4c7221
14a47aa34d41
155838b6b8eb
hex31ab98e2fd

213332321021 has 2 divisors, whose sum is σ = 213332321022. Its totient is φ = 213332321020.

The previous prime is 213332321011. The next prime is 213332321023. The reversal of 213332321021 is 120123233312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213300804025 + 31516996 = 461845^2 + 5614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213332321021 is a prime.

It is a Sophie Germain prime.

Together with 213332321023, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213332321023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106666160510 + 106666160511.

It is an arithmetic number, because the mean of its divisors is an integer number (106666160511).

Almost surely, 2213332321021 is an apocalyptic number.

It is an amenable number.

213332321021 is a deficient number, since it is larger than the sum of its proper divisors (1).

213332321021 is an equidigital number, since it uses as much as digits as its factorization.

213332321021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 213332321021 its reverse (120123233312), we get a palindrome (333455554333).

The spelling of 213332321021 in words is "two hundred thirteen billion, three hundred thirty-two million, three hundred twenty-one thousand, twenty-one".