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20122200013 is a prime number
BaseRepresentation
bin10010101111011000…
…000110011111001101
31220221100110200011011
4102233120012133031
5312202240400023
613124412325221
71311434610106
oct225730063715
956840420134
1020122200013
118596503773
123a96a73811
131b88ac2036
14d8c6153ad
157cb85850d
hex4af6067cd

20122200013 has 2 divisors, whose sum is σ = 20122200014. Its totient is φ = 20122200012.

The previous prime is 20122199989. The next prime is 20122200079. The reversal of 20122200013 is 31000222102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16572185289 + 3550014724 = 128733^2 + 59582^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122200013 - 29 = 20122199501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20122199966 and 20122200002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20122200313) 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, 10061100006 + 10061100007.

It is an arithmetic number, because the mean of its divisors is an integer number (10061100007).

Almost surely, 220122200013 is an apocalyptic number.

It is an amenable number.

20122200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122200013 is an equidigital number, since it uses as much as digits as its factorization.

20122200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20122200013 its reverse (31000222102), we get a palindrome (51122422115).

The spelling of 20122200013 in words is "twenty billion, one hundred twenty-two million, two hundred thousand, thirteen".