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1023144013 is a prime number
BaseRepresentation
bin111100111110111…
…111000001001101
32122022020002201201
4330332333001031
54043411102023
6245305305501
734232403103
oct7476770115
92568202651
101023144013
114855a1271
12246795291
13133c81678
1499c53c73
155ec53bad
hex3cfbf04d

1023144013 has 2 divisors, whose sum is σ = 1023144014. Its totient is φ = 1023144012.

The previous prime is 1023143993. The next prime is 1023144043. The reversal of 1023144013 is 3104413201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1020035844 + 3108169 = 31938^2 + 1763^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023144013 - 25 = 1023143981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023144043) 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, 511572006 + 511572007.

It is an arithmetic number, because the mean of its divisors is an integer number (511572007).

Almost surely, 21023144013 is an apocalyptic number.

It is an amenable number.

1023144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023144013 is an equidigital number, since it uses as much as digits as its factorization.

1023144013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1023144013 is about 31986.6224068750. The cubic root of 1023144013 is about 1007.6559084868.

Adding to 1023144013 its reverse (3104413201), we get a palindrome (4127557214).

The spelling of 1023144013 in words is "one billion, twenty-three million, one hundred forty-four thousand, thirteen".