Search a number
-
+
1023107149 is a prime number
BaseRepresentation
bin111100111110110…
…110000001001101
32122022011020011101
4330332312001031
54043403412044
6245304423101
734232160451
oct7476660115
92568136141
101023107149
114855765a9
12246777a91
13133c6a95c
1499c44661
155ec47cd4
hex3cfb604d

1023107149 has 2 divisors, whose sum is σ = 1023107150. Its totient is φ = 1023107148.

The previous prime is 1023107131. The next prime is 1023107179. The reversal of 1023107149 is 9417013201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 571544649 + 451562500 = 23907^2 + 21250^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023107149 - 217 = 1022976077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023107119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511553574 + 511553575.

It is an arithmetic number, because the mean of its divisors is an integer number (511553575).

Almost surely, 21023107149 is an apocalyptic number.

It is an amenable number.

1023107149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023107149 is an equidigital number, since it uses as much as digits as its factorization.

1023107149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1023107149 is about 31986.0461607871. The cubic root of 1023107149 is about 1007.6438063542.

The spelling of 1023107149 in words is "one billion, twenty-three million, one hundred seven thousand, one hundred forty-nine".