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10022040031 is a prime number
BaseRepresentation
bin10010101010101110…
…00011000111011111
3221212110020101100211
421111113003013133
5131011120240111
64334251033251
7503232635413
oct112527030737
927773211324
1010022040031
1142831a9013
121b3843b827
13c39436303
146b105cd43
153d9cb3521
hex2555c31df

10022040031 has 2 divisors, whose sum is σ = 10022040032. Its totient is φ = 10022040030.

The previous prime is 10022040001. The next prime is 10022040071. The reversal of 10022040031 is 13004022001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10022040031 - 233 = 1432105439 is a prime.

It is a super-2 number, since 2×100220400312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022039993 and 10022040020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022040001) 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, 5011020015 + 5011020016.

It is an arithmetic number, because the mean of its divisors is an integer number (5011020016).

Almost surely, 210022040031 is an apocalyptic number.

10022040031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022040031 is an equidigital number, since it uses as much as digits as its factorization.

10022040031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10022040031 its reverse (13004022001), we get a palindrome (23026062032).

The spelling of 10022040031 in words is "ten billion, twenty-two million, forty thousand, thirty-one".