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10022011001 is a prime number
BaseRepresentation
bin10010101010101101…
…11100000001111001
3221212110011220112122
421111112330001321
5131011113323001
64334250251025
7503232454652
oct112526740171
927773156478
1010022011001
114283189222
121b38426a75
13c39426032
146b1052529
153d9ca9b1b
hex2555bc079

10022011001 has 2 divisors, whose sum is σ = 10022011002. Its totient is φ = 10022011000.

The previous prime is 10022010979. The next prime is 10022011039. The reversal of 10022011001 is 10011022001.

10022011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9940289401 + 81721600 = 99701^2 + 9040^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022011001 - 218 = 10021748857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10022011001.

It is not a weakly prime, because it can be changed into another prime (10022011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011005500 + 5011005501.

It is an arithmetic number, because the mean of its divisors is an integer number (5011005501).

Almost surely, 210022011001 is an apocalyptic number.

It is an amenable number.

10022011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022011001 is an equidigital number, since it uses as much as digits as its factorization.

10022011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10022011001 its reverse (10011022001), we get a palindrome (20033033002).

The spelling of 10022011001 in words is "ten billion, twenty-two million, eleven thousand, one".