Search a number
-
+
312210003013 is a prime number
BaseRepresentation
bin1001000101100010010…
…10101001010001000101
31002211212110012110001221
410202301022221101011
520103401230044023
6355232143520341
731361566144636
oct4426112512105
91084773173057
10312210003013
11110453453287
12506125b90b1
132359764076c
141117a9c788d
1581c45b285d
hex48b12a9445

312210003013 has 2 divisors, whose sum is σ = 312210003014. Its totient is φ = 312210003012.

The previous prime is 312210002957. The next prime is 312210003023. The reversal of 312210003013 is 310300012213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274107743809 + 38102259204 = 523553^2 + 195198^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312210003013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312210003023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105001506 + 156105001507.

It is an arithmetic number, because the mean of its divisors is an integer number (156105001507).

Almost surely, 2312210003013 is an apocalyptic number.

It is an amenable number.

312210003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210003013 is an equidigital number, since it uses as much as digits as its factorization.

312210003013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 312210003013 its reverse (310300012213), we get a palindrome (622510015226).

The spelling of 312210003013 in words is "three hundred twelve billion, two hundred ten million, three thousand, thirteen".