Search a number
-
+
20122121017 is a prime number
BaseRepresentation
bin10010101111010111…
…110011001100111001
31220221100022122210101
4102233113303030321
5312202230333032
613124410515401
71311434130565
oct225727631471
956840278711
1020122121017
11859645a389
123a96a35b61
131b88a950ab
14d8c5d46a5
157cb83ede7
hex4af5f3339

20122121017 has 2 divisors, whose sum is σ = 20122121018. Its totient is φ = 20122121016.

The previous prime is 20122121003. The next prime is 20122121027. The reversal of 20122121017 is 71012122102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15820859961 + 4301261056 = 125781^2 + 65584^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20122121017 is a prime.

It is a super-2 number, since 2×201221210172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20122120985 and 20122121003.

It is not a weakly prime, because it can be changed into another prime (20122121027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061060508 + 10061060509.

It is an arithmetic number, because the mean of its divisors is an integer number (10061060509).

Almost surely, 220122121017 is an apocalyptic number.

It is an amenable number.

20122121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122121017 is an equidigital number, since it uses as much as digits as its factorization.

20122121017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 20122121017 its reverse (71012122102), we get a palindrome (91134243119).

The spelling of 20122121017 in words is "twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, seventeen".