Search a number
-
+
111221210117 is a prime number
BaseRepresentation
bin110011110010101001…
…1001111110000000101
3101122002012022212201102
41213211103033300011
53310240112210432
6123032212305445
711015110454543
oct1474523176005
9348065285642
10111221210117
1143194523376
121967b912285
13a646509544
145551474d93
152d5e422962
hex19e54cfc05

111221210117 has 2 divisors, whose sum is σ = 111221210118. Its totient is φ = 111221210116.

The previous prime is 111221210099. The next prime is 111221210167. The reversal of 111221210117 is 711012122111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101583075841 + 9638134276 = 318721^2 + 98174^2 .

It is a cyclic number.

It is not a de Polignac number, because 111221210117 - 222 = 111217015813 is a prime.

It is a super-4 number, since 4×1112212101174 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111221210167) 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, 55610605058 + 55610605059.

It is an arithmetic number, because the mean of its divisors is an integer number (55610605059).

Almost surely, 2111221210117 is an apocalyptic number.

It is an amenable number.

111221210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111221210117 is an equidigital number, since it uses as much as digits as its factorization.

111221210117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 111221210117 its reverse (711012122111), we get a palindrome (822233332228).

The spelling of 111221210117 in words is "one hundred eleven billion, two hundred twenty-one million, two hundred ten thousand, one hundred seventeen".