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1023306323401 is a prime number
BaseRepresentation
bin11101110010000011100…
…11110101010111001001
310121211022222101022210001
432321001303311113021
5113231212404322101
62102033405523001
7133634325142525
oct16710163652711
93554288338701
101023306323401
11364a8881869a
121463a7273461
137566095aa4b
14377578b2d85
151b9428d3901
hexee41cf55c9

1023306323401 has 2 divisors, whose sum is σ = 1023306323402. Its totient is φ = 1023306323400.

The previous prime is 1023306323399. The next prime is 1023306323411. The reversal of 1023306323401 is 1043236033201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1014806405376 + 8499918025 = 1007376^2 + 92195^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023306323401 - 21 = 1023306323399 is a prime.

Together with 1023306323399, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1023306323401.

It is not a weakly prime, because it can be changed into another prime (1023306323411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511653161700 + 511653161701.

It is an arithmetic number, because the mean of its divisors is an integer number (511653161701).

Almost surely, 21023306323401 is an apocalyptic number.

It is an amenable number.

1023306323401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023306323401 is an equidigital number, since it uses as much as digits as its factorization.

1023306323401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 28.

The spelling of 1023306323401 in words is "one trillion, twenty-three billion, three hundred six million, three hundred twenty-three thousand, four hundred one".