Search a number
-
+
10222000181 is a prime number
BaseRepresentation
bin10011000010100011…
…10101100000110101
3222101101111102010022
421201101311200311
5131413313001211
64410152534525
7511211365541
oct114121654065
928341442108
1010222000181
114376064038
121b933b1445
13c6b9a8423
146cd830a21
153ec610bdb
hex261475835

10222000181 has 2 divisors, whose sum is σ = 10222000182. Its totient is φ = 10222000180.

The previous prime is 10222000177. The next prime is 10222000183. The reversal of 10222000181 is 18100022201.

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., 6460140625 + 3761859556 = 80375^2 + 61334^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222000181 - 22 = 10222000177 is a prime.

It is a super-2 number, since 2×102220001812 (a number of 21 digits) contains 22 as substring.

Together with 10222000183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222000183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111000090 + 5111000091.

It is an arithmetic number, because the mean of its divisors is an integer number (5111000091).

Almost surely, 210222000181 is an apocalyptic number.

It is an amenable number.

10222000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222000181 is an equidigital number, since it uses as much as digits as its factorization.

10222000181 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 17.

Adding to 10222000181 its reverse (18100022201), we get a palindrome (28322022382).

The spelling of 10222000181 in words is "ten billion, two hundred twenty-two million, one hundred eighty-one", and thus it is an aban number.