Search a number
-
+
12364014029 is a prime number
BaseRepresentation
bin10111000001111001…
…11110000111001101
31011220200001222201112
423200330332013031
5200310141422104
65402511421405
7615251246063
oct134074760715
934820058645
1012364014029
115275188814
122490824865
1312206b6643
148540d6033
154c56c686e
hex2e0f3e1cd

12364014029 has 2 divisors, whose sum is σ = 12364014030. Its totient is φ = 12364014028.

The previous prime is 12364014011. The next prime is 12364014037. The reversal of 12364014029 is 92041046321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8986660804 + 3377353225 = 94798^2 + 58115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12364014029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12364013986 and 12364014004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12364014049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6182007014 + 6182007015.

It is an arithmetic number, because the mean of its divisors is an integer number (6182007015).

Almost surely, 212364014029 is an apocalyptic number.

It is an amenable number.

12364014029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12364014029 is an equidigital number, since it uses as much as digits as its factorization.

12364014029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 12364014029 in words is "twelve billion, three hundred sixty-four million, fourteen thousand, twenty-nine".