Search a number
-
+
1023122981 is a prime number
BaseRepresentation
bin111100111110111…
…001111000100101
32122022012000212202
4330332321320211
54043404413411
6245305024245
734232254556
oct7476717045
92568160782
101023122981
11485587491
12246785085
13133c74c1a
1499c4a32d
155ec4c83b
hex3cfb9e25

1023122981 has 2 divisors, whose sum is σ = 1023122982. Its totient is φ = 1023122980.

The previous prime is 1023122921. The next prime is 1023123011. The reversal of 1023122981 is 1892213201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 566916100 + 456206881 = 23810^2 + 21359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023122981 is a prime.

It is a super-2 number, since 2×10231229812 = 2093561268500652722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023122921) 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, 511561490 + 511561491.

It is an arithmetic number, because the mean of its divisors is an integer number (511561491).

Almost surely, 21023122981 is an apocalyptic number.

It is an amenable number.

1023122981 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023122981 is an equidigital number, since it uses as much as digits as its factorization.

1023122981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1023122981 is about 31986.2936427464. The cubic root of 1023122981 is about 1007.6490038986.

The spelling of 1023122981 in words is "one billion, twenty-three million, one hundred twenty-two thousand, nine hundred eighty-one".