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1122000013 is a prime number
BaseRepresentation
bin100001011100000…
…0101110010001101
32220012020111200001
41002320011302031
54244213000023
6303200204301
736542562031
oct10270056215
92805214601
101122000013
11526381242
12273909691
1314b5b4544
14a90281c1
156877e6ad
hex42e05c8d

1122000013 has 2 divisors, whose sum is σ = 1122000014. Its totient is φ = 1122000012.

The previous prime is 1121999993. The next prime is 1122000031. The reversal of 1122000013 is 3100002211.

Together with next prime (1122000031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1119103209 + 2896804 = 33453^2 + 1702^2 .

It is an emirp because it is prime and its reverse (3100002211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1122000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1122000713) 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, 561000006 + 561000007.

It is an arithmetic number, because the mean of its divisors is an integer number (561000007).

Almost surely, 21122000013 is an apocalyptic number.

It is an amenable number.

1122000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122000013 is an equidigital number, since it uses as much as digits as its factorization.

1122000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1122000013 is about 33496.2686429399. The cubic root of 1122000013 is about 1039.1166108589.

Adding to 1122000013 its reverse (3100002211), we get a palindrome (4222002224).

The spelling of 1122000013 in words is "one billion, one hundred twenty-two million, thirteen", and thus it is an aban number.