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1022313109 is a prime number
BaseRepresentation
bin111100111011110…
…100001010010101
32122020122212221111
4330323310022111
54043203004414
6245235415021
734222342456
oct7473641225
92566585844
101022313109
11485083a74
12246454471
13133a503cc
1499ab912d
155eb3c8c4
hex3cef4295

1022313109 has 2 divisors, whose sum is σ = 1022313110. Its totient is φ = 1022313108.

The previous prime is 1022313101. The next prime is 1022313137. The reversal of 1022313109 is 9013132201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 892694884 + 129618225 = 29878^2 + 11385^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022313109 - 23 = 1022313101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022313109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022313101) 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, 511156554 + 511156555.

It is an arithmetic number, because the mean of its divisors is an integer number (511156555).

Almost surely, 21022313109 is an apocalyptic number.

It is an amenable number.

1022313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022313109 is an equidigital number, since it uses as much as digits as its factorization.

1022313109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1022313109 is about 31973.6314640674. The cubic root of 1022313109 is about 1007.3830592865.

It can be divided in two parts, 10223 and 13109, that added together give a palindrome (23332).

The spelling of 1022313109 in words is "one billion, twenty-two million, three hundred thirteen thousand, one hundred nine".