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1023214300321 is a prime number
BaseRepresentation
bin11101110001111000101…
…00110010110010100001
310121211002120020001211211
432320330110302302201
5113231020330102241
62102020321310121
7133632130022623
oct16707424626241
93554076201754
101023214300321
11364a40885364
12146380495341
137564787b015
143774959ac13
151b9397a7781
hexee3c532ca1

1023214300321 has 2 divisors, whose sum is σ = 1023214300322. Its totient is φ = 1023214300320.

The previous prime is 1023214300319. The next prime is 1023214300369. The reversal of 1023214300321 is 1230034123201.

1023214300321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 818055127296 + 205159173025 = 904464^2 + 452945^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023214300321 - 21 = 1023214300319 is a prime.

Together with 1023214300319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1023214300292 and 1023214300301.

It is not a weakly prime, because it can be changed into another prime (1023214300021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511607150160 + 511607150161.

It is an arithmetic number, because the mean of its divisors is an integer number (511607150161).

Almost surely, 21023214300321 is an apocalyptic number.

It is an amenable number.

1023214300321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023214300321 is an equidigital number, since it uses as much as digits as its factorization.

1023214300321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1023214300321 its reverse (1230034123201), we get a palindrome (2253248423522).

The spelling of 1023214300321 in words is "one trillion, twenty-three billion, two hundred fourteen million, three hundred thousand, three hundred twenty-one".