Search a number
-
+
10222211117 is a prime number
BaseRepresentation
bin10011000010100101…
…01001000000101101
3222101101220010110202
421201102221000231
5131413341223432
64410201243245
7511213234526
oct114122510055
928341803422
1010222211117
114376198568
121b93493525
13c6ba50441
146cd88784d
153ec653462
hex2614a902d

10222211117 has 2 divisors, whose sum is σ = 10222211118. Its totient is φ = 10222211116.

The previous prime is 10222211113. The next prime is 10222211137. The reversal of 10222211117 is 71111222201.

It is a happy number.

10222211117 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10222211137) can be obtained adding 10222211117 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9789321481 + 432889636 = 98941^2 + 20806^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222211117 - 22 = 10222211113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222211113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111105558 + 5111105559.

It is an arithmetic number, because the mean of its divisors is an integer number (5111105559).

Almost surely, 210222211117 is an apocalyptic number.

It is an amenable number.

10222211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222211117 is an equidigital number, since it uses as much as digits as its factorization.

10222211117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 10222211117 its reverse (71111222201), we get a palindrome (81333433318).

The spelling of 10222211117 in words is "ten billion, two hundred twenty-two million, two hundred eleven thousand, one hundred seventeen".