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20122200012113 is a prime number
BaseRepresentation
bin1001001001101000100001…
…00101010111010101010001
32122020122220201100022102022
410210310100211113111101
510114140231200341423
6110444002220301225
74144531606003523
oct444642045272521
978218821308368
1020122200012113
11645886035a891
12230b9980a1815
13b2c691205104
144d7cc3845a13
1524d65805bdc8
hex124d10957551

20122200012113 has 2 divisors, whose sum is σ = 20122200012114. Its totient is φ = 20122200012112.

The previous prime is 20122200012077. The next prime is 20122200012119. The reversal of 20122200012113 is 31121000222102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12790300780609 + 7331899231504 = 3576353^2 + 2707748^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122200012113 - 26 = 20122200012049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20122200012091 and 20122200012100.

It is not a weakly prime, because it can be changed into another prime (20122200012119) 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, 10061100006056 + 10061100006057.

It is an arithmetic number, because the mean of its divisors is an integer number (10061100006057).

Almost surely, 220122200012113 is an apocalyptic number.

It is an amenable number.

20122200012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122200012113 is an equidigital number, since it uses as much as digits as its factorization.

20122200012113 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 17.

Adding to 20122200012113 its reverse (31121000222102), we get a palindrome (51243200234215).

The spelling of 20122200012113 in words is "twenty trillion, one hundred twenty-two billion, two hundred million, twelve thousand, one hundred thirteen".