Search a number
-
+
10012222000213 is a prime number
BaseRepresentation
bin1001000110110010011011…
…1011111000110001010101
31022110011021222002012012221
42101230212323320301111
52303020012313001323
633143315024542341
72052234123545056
oct221544673706125
938404258065187
1010012222000213
113210183334744
121158528a819b1
135781c12ab004
1426884641872d
15125692e1655d
hex91b26ef8c55

10012222000213 has 2 divisors, whose sum is σ = 10012222000214. Its totient is φ = 10012222000212.

The previous prime is 10012222000199. The next prime is 10012222000247. The reversal of 10012222000213 is 31200022221001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9885698087409 + 126523912804 = 3144153^2 + 355702^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012222000213 - 237 = 9874783046741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012222000513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006111000106 + 5006111000107.

It is an arithmetic number, because the mean of its divisors is an integer number (5006111000107).

Almost surely, 210012222000213 is an apocalyptic number.

It is an amenable number.

10012222000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012222000213 is an equidigital number, since it uses as much as digits as its factorization.

10012222000213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10012222000213 its reverse (31200022221001), we get a palindrome (41212244221214).

The spelling of 10012222000213 in words is "ten trillion, twelve billion, two hundred twenty-two million, two hundred thirteen", and thus it is an aban number.