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1022310013 is a prime number
BaseRepresentation
bin111100111011110…
…011011001111101
32122020122201200211
4330323303121331
54043202410023
6245235352421
734222330444
oct7473633175
92566581624
101022310013
1148508170a
12246452711
13133a4bb8a
1499ab7d5b
155eb3ba0d
hex3cef367d

1022310013 has 2 divisors, whose sum is σ = 1022310014. Its totient is φ = 1022310012.

The previous prime is 1022309989. The next prime is 1022310017. The reversal of 1022310013 is 3100132201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 670447449 + 351862564 = 25893^2 + 18758^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022310013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022309975 and 1022310002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022310017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511155006 + 511155007.

It is an arithmetic number, because the mean of its divisors is an integer number (511155007).

Almost surely, 21022310013 is an apocalyptic number.

It is an amenable number.

1022310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022310013 is an equidigital number, since it uses as much as digits as its factorization.

1022310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1022310013 is about 31973.5830491360. The cubic root of 1022310013 is about 1007.3820423569.

Adding to 1022310013 its reverse (3100132201), we get a palindrome (4122442214).

The spelling of 1022310013 in words is "one billion, twenty-two million, three hundred ten thousand, thirteen".