Search a number
-
+
20122101212033 is a prime number
BaseRepresentation
bin1001001001101000010101…
…01100011110001110000001
32122020122122211102202012002
410210310022230132032001
510114140030402241113
6110443544330513345
74144526266136612
oct444641254361601
978218584382162
1020122101212033
11645880a608927
12230b96ab95855
13b2c6768c1822
144d7cb4687c09
1524d64e542c58
hex124d0ab1e381

20122101212033 has 2 divisors, whose sum is σ = 20122101212034. Its totient is φ = 20122101212032.

The previous prime is 20122101212021. The next prime is 20122101212183. The reversal of 20122101212033 is 33021210122102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18981462259984 + 1140638952049 = 4356772^2 + 1068007^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122101212033 - 28 = 20122101211777 is a prime.

It is a super-3 number, since 3×201221012120333 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20122101211996 and 20122101212014.

It is not a weakly prime, because it can be changed into another prime (20122101212333) 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, 10061050606016 + 10061050606017.

It is an arithmetic number, because the mean of its divisors is an integer number (10061050606017).

Almost surely, 220122101212033 is an apocalyptic number.

It is an amenable number.

20122101212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122101212033 is an equidigital number, since it uses as much as digits as its factorization.

20122101212033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20122101212033 its reverse (33021210122102), we get a palindrome (53143311334135).

The spelling of 20122101212033 in words is "twenty trillion, one hundred twenty-two billion, one hundred one million, two hundred twelve thousand, thirty-three".