Search a number
-
+
1023053432309 is a prime number
BaseRepresentation
bin11101110001100101011…
…11001000010111110101
310121210200100112010102022
432320302233020113311
5113230203134313214
62101552333322525
7133625134456646
oct16706257102765
93553610463368
101023053432309
11364968a9a897
12146336636445
137562044544c
14377320836cd
151b92a5ccd8e
hexee32bc85f5

1023053432309 has 2 divisors, whose sum is σ = 1023053432310. Its totient is φ = 1023053432308.

The previous prime is 1023053432287. The next prime is 1023053432311. The reversal of 1023053432309 is 9032343503201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 668873715409 + 354179716900 = 817847^2 + 595130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023053432309 is a prime.

Together with 1023053432311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023053432399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511526716154 + 511526716155.

It is an arithmetic number, because the mean of its divisors is an integer number (511526716155).

Almost surely, 21023053432309 is an apocalyptic number.

It is an amenable number.

1023053432309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023053432309 is an equidigital number, since it uses as much as digits as its factorization.

1023053432309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 35.

The spelling of 1023053432309 in words is "one trillion, twenty-three billion, fifty-three million, four hundred thirty-two thousand, three hundred nine".