Search a number
-
+
10022201993 is a prime number
BaseRepresentation
bin10010101010101111…
…01010101010001001
3221212110112121112102
421111113222222021
5131011140430433
64334254323145
7503234211536
oct112527525211
927773477472
1010022201993
1142832a9771
121b384b94b5
13c39491c4b
146b10a1d8d
153d9ce64e8
hex2555eaa89

10022201993 has 2 divisors, whose sum is σ = 10022201994. Its totient is φ = 10022201992.

The previous prime is 10022201941. The next prime is 10022202013. The reversal of 10022201993 is 39910222001.

10022201993 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., 9745046089 + 277155904 = 98717^2 + 16648^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022201993 - 216 = 10022136457 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022201593) 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, 5011100996 + 5011100997.

It is an arithmetic number, because the mean of its divisors is an integer number (5011100997).

Almost surely, 210022201993 is an apocalyptic number.

It is an amenable number.

10022201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022201993 is an equidigital number, since it uses as much as digits as its factorization.

10022201993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

Adding to 10022201993 its reverse (39910222001), we get a palindrome (49932423994).

The spelling of 10022201993 in words is "ten billion, twenty-two million, two hundred one thousand, nine hundred ninety-three".