Search a number
-
+
2012122117 is a prime number
BaseRepresentation
bin111011111101110…
…1000110000000101
312012020011101122101
41313323220300011
513110100401432
6531354432101
7100601520145
oct16773506005
95166141571
102012122117
11942877145
12481a32631
13260b2cb05
14151332925
15bb9a94e7
hex77ee8c05

2012122117 has 2 divisors, whose sum is σ = 2012122118. Its totient is φ = 2012122116.

The previous prime is 2012122033. The next prime is 2012122127. The reversal of 2012122117 is 7112212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1808460676 + 203661441 = 42526^2 + 14271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2012122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012122094 and 2012122103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012122127) 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, 1006061058 + 1006061059.

It is an arithmetic number, because the mean of its divisors is an integer number (1006061059).

Almost surely, 22012122117 is an apocalyptic number.

It is an amenable number.

2012122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012122117 is an equidigital number, since it uses as much as digits as its factorization.

2012122117 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 19.

The square root of 2012122117 is about 44856.6841953348. The cubic root of 2012122117 is about 1262.4614094272.

Adding to 2012122117 its reverse (7112212102), we get a palindrome (9124334219).

The spelling of 2012122117 in words is "two billion, twelve million, one hundred twenty-two thousand, one hundred seventeen".