Search a number
-
+
1012022212021 is a prime number
BaseRepresentation
bin11101011101000010011…
…10010111010110110101
310120202012120100001222221
432232201032113112311
5113040110141241041
62052525552122341
7133054565603602
oct16564116272665
93522176301887
101012022212021
11360218178807
121441782363b1
1374582c09572
1436da6da76a9
151b4d1e232d1
hexeba13975b5

1012022212021 has 2 divisors, whose sum is σ = 1012022212022. Its totient is φ = 1012022212020.

The previous prime is 1012022211989. The next prime is 1012022212051. The reversal of 1012022212021 is 1202122202101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 539071666225 + 472950545796 = 734215^2 + 687714^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012022212021 - 25 = 1012022211989 is a prime.

It is a super-3 number, since 3×10120222120213 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012022211986 and 1012022212004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012022212051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506011106010 + 506011106011.

It is an arithmetic number, because the mean of its divisors is an integer number (506011106011).

Almost surely, 21012022212021 is an apocalyptic number.

It is an amenable number.

1012022212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012022212021 is an equidigital number, since it uses as much as digits as its factorization.

1012022212021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012022212021 its reverse (1202122202101), we get a palindrome (2214144414122).

The spelling of 1012022212021 in words is "one trillion, twelve billion, twenty-two million, two hundred twelve thousand, twenty-one".