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1023120313 is a prime number
BaseRepresentation
bin111100111110111…
…001001110111001
32122022011220012221
4330332321032321
54043404322223
6245305004041
734232244025
oct7476711671
92568156187
101023120313
11485585486
12246783621
13133c73947
1499c49385
155ec4bb5d
hex3cfb93b9

1023120313 has 2 divisors, whose sum is σ = 1023120314. Its totient is φ = 1023120312.

The previous prime is 1023120289. The next prime is 1023120317. The reversal of 1023120313 is 3130213201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016525689 + 6594624 = 31883^2 + 2568^2 .

It is an emirp because it is prime and its reverse (3130213201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023120313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023120317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511560156 + 511560157.

It is an arithmetic number, because the mean of its divisors is an integer number (511560157).

Almost surely, 21023120313 is an apocalyptic number.

It is an amenable number.

1023120313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023120313 is an equidigital number, since it uses as much as digits as its factorization.

1023120313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1023120313 is about 31986.2519373558. The cubic root of 1023120313 is about 1007.6481280150.

Adding to 1023120313 its reverse (3130213201), we get a palindrome (4153333514).

The spelling of 1023120313 in words is "one billion, twenty-three million, one hundred twenty thousand, three hundred thirteen".