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1022122021 is a prime number
BaseRepresentation
bin111100111011000…
…101100000100101
32122020022011211011
4330323011200211
54043130401041
6245231342221
734220615404
oct7473054045
92566264734
101022122021
11484a63448
12246381971
131339b443b
1499a6963b
155eb00e81
hex3cec5825

1022122021 has 2 divisors, whose sum is σ = 1022122022. Its totient is φ = 1022122020.

The previous prime is 1022121977. The next prime is 1022122027. The reversal of 1022122021 is 1202212201.

It is a happy number.

1022122021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 932080900 + 90041121 = 30530^2 + 9489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022122021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022121992 and 1022122010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022122027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511061010 + 511061011.

It is an arithmetic number, because the mean of its divisors is an integer number (511061011).

Almost surely, 21022122021 is an apocalyptic number.

It is an amenable number.

1022122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022122021 is an equidigital number, since it uses as much as digits as its factorization.

1022122021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022122021 is about 31970.6431120802. The cubic root of 1022122021 is about 1007.3202896035.

Adding to 1022122021 its reverse (1202212201), we get a palindrome (2224334222).

The spelling of 1022122021 in words is "one billion, twenty-two million, one hundred twenty-two thousand, twenty-one".