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1023320401 is a prime number
BaseRepresentation
bin111100111111101…
…010000101010001
32122022120001200121
4330333222011101
54043432223101
6245313150241
734234036255
oct7477520521
92568501617
101023320401
11485701844
1224685b381
13134013a3c
1499c9c265
155ec8b0a1
hex3cfea151

1023320401 has 2 divisors, whose sum is σ = 1023320402. Its totient is φ = 1023320400.

The previous prime is 1023320381. The next prime is 1023320443. The reversal of 1023320401 is 1040233201.

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., 634284225 + 389036176 = 25185^2 + 19724^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023320401 - 217 = 1023189329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023320461) 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, 511660200 + 511660201.

It is an arithmetic number, because the mean of its divisors is an integer number (511660201).

Almost surely, 21023320401 is an apocalyptic number.

It is an amenable number.

1023320401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023320401 is an equidigital number, since it uses as much as digits as its factorization.

1023320401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1023320401 is about 31989.3795032039. The cubic root of 1023320401 is about 1007.7138111200.

Adding to 1023320401 its reverse (1040233201), we get a palindrome (2063553602).

The spelling of 1023320401 in words is "one billion, twenty-three million, three hundred twenty thousand, four hundred one".