Search a number
-
+
1022302993 is a prime number
BaseRepresentation
bin111100111011110…
…001101100010001
32122020122101001211
4330323301230101
54043202143433
6245235300121
734222301125
oct7473615421
92566571054
101022302993
11485077408
1224644a641
13133a4891a
1499ab5585
155eb398cd
hex3cef1b11

1022302993 has 2 divisors, whose sum is σ = 1022302994. Its totient is φ = 1022302992.

The previous prime is 1022302987. The next prime is 1022303017. The reversal of 1022302993 is 3992032201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 920030224 + 102272769 = 30332^2 + 10113^2 .

It is an emirp because it is prime and its reverse (3992032201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022302993 - 29 = 1022302481 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022305993) 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, 511151496 + 511151497.

It is an arithmetic number, because the mean of its divisors is an integer number (511151497).

Almost surely, 21022302993 is an apocalyptic number.

It is an amenable number.

1022302993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022302993 is an equidigital number, since it uses as much as digits as its factorization.

1022302993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 1022302993 is about 31973.4732708225. The cubic root of 1022302993 is about 1007.3797365208.

The spelling of 1022302993 in words is "one billion, twenty-two million, three hundred two thousand, nine hundred ninety-three".