Search a number
-
+
212012000122157 is a prime number
BaseRepresentation
bin110000001101001011100011…
…111101001001010100101101
31000210200011000211001112021122
4300031023203331021110231
5210242101034012402112
62030524545051510325
762441235001563104
oct6015134375112455
91023604024045248
10212012000122157
116160a869a22584
121b941419a583a5
13913b851b56a61
143a4d61525303b
151979dba756872
hexc0d2e3f4952d

212012000122157 has 2 divisors, whose sum is σ = 212012000122158. Its totient is φ = 212012000122156.

The previous prime is 212012000122103. The next prime is 212012000122217. The reversal of 212012000122157 is 751221000210212.

212012000122157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151692452689801 + 60319547432356 = 12316349^2 + 7766566^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212012000122157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212012000122957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006000061078 + 106006000061079.

It is an arithmetic number, because the mean of its divisors is an integer number (106006000061079).

Almost surely, 2212012000122157 is an apocalyptic number.

It is an amenable number.

212012000122157 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012000122157 is an equidigital number, since it uses as much as digits as its factorization.

212012000122157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 212012000122157 its reverse (751221000210212), we get a palindrome (963233000332369).

The spelling of 212012000122157 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-two thousand, one hundred fifty-seven".