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1210000013 is a prime number
BaseRepresentation
bin100100000011111…
…0010001010001101
310010022211100222022
41020013302022031
54434230000023
6320022255525
741661554555
oct11007621215
93108740868
101210000013
11571016a12
122992875a5
131638b6051
14b69b4165
15713637c8
hex481f228d

1210000013 has 2 divisors, whose sum is σ = 1210000014. Its totient is φ = 1210000012.

The previous prime is 1209999997. The next prime is 1210000021. The reversal of 1210000013 is 3100000121.

It is an a-pointer prime, because the next prime (1210000021) can be obtained adding 1210000013 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1097066884 + 112933129 = 33122^2 + 10627^2 .

It is an emirp because it is prime and its reverse (3100000121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1210000013 - 24 = 1209999997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1210000073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 605000006 + 605000007.

It is an arithmetic number, because the mean of its divisors is an integer number (605000007).

Almost surely, 21210000013 is an apocalyptic number.

It is an amenable number.

1210000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1210000013 is an equidigital number, since it uses as much as digits as its factorization.

1210000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1210000013 is about 34785.0544487140. The cubic root of 1210000013 is about 1065.6022405828.

Adding to 1210000013 its reverse (3100000121), we get a palindrome (4310000134).

The spelling of 1210000013 in words is "one billion, two hundred ten million, thirteen", and thus it is an aban number.