Search a number
-
+
12000202221013 is a prime number
BaseRepresentation
bin1010111010100000001111…
…0010100110010111010101
31120111012121201120222212121
42232220003302212113111
53033102403232033023
641304452232215541
72345662124610106
oct256500362462725
946435551528777
1012000202221013
113907291344506
12141987753a5b1
136907ca573aa6
142d6b547bc3ad
1515c245a67d5d
hexaea03ca65d5

12000202221013 has 2 divisors, whose sum is σ = 12000202221014. Its totient is φ = 12000202221012.

The previous prime is 12000202220971. The next prime is 12000202221071. The reversal of 12000202221013 is 31012220200021.

It is a happy number.

12000202221013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8687885940484 + 3312316280529 = 2947522^2 + 1819977^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12000202221013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12000202221613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000101110506 + 6000101110507.

It is an arithmetic number, because the mean of its divisors is an integer number (6000101110507).

Almost surely, 212000202221013 is an apocalyptic number.

It is an amenable number.

12000202221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000202221013 is an equidigital number, since it uses as much as digits as its factorization.

12000202221013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12000202221013 its reverse (31012220200021), we get a palindrome (43012422421034).

The spelling of 12000202221013 in words is "twelve trillion, two hundred two million, two hundred twenty-one thousand, thirteen".