Search a number
-
+
1023031330309 is a prime number
BaseRepresentation
bin11101110001100010110…
…10110100011000000101
310121210121210221020011201
432320301122310120011
5113230132010032214
62101550223502501
7133624445554432
oct16706132643005
93553553836151
101023031330309
1136495757427a
1214632b157a31
13756189a7341
143772d16cb89
151b9286b4274
hexee316b4605

1023031330309 has 2 divisors, whose sum is σ = 1023031330310. Its totient is φ = 1023031330308.

The previous prime is 1023031330297. The next prime is 1023031330319. The reversal of 1023031330309 is 9030331303201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1022171550625 + 859779684 = 1011025^2 + 29322^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023031330309 - 233 = 1014441395717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023031330319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511515665154 + 511515665155.

It is an arithmetic number, because the mean of its divisors is an integer number (511515665155).

Almost surely, 21023031330309 is an apocalyptic number.

It is an amenable number.

1023031330309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023031330309 is an equidigital number, since it uses as much as digits as its factorization.

1023031330309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 28.

The spelling of 1023031330309 in words is "one trillion, twenty-three billion, thirty-one million, three hundred thirty thousand, three hundred nine".