Search a number
-
+
212312012012131 is a prime number
BaseRepresentation
bin110000010001100010111110…
…000011101011101001100011
31000211201211102011100122000011
4300101202332003223221203
5210312010000033342011
62031314443011505351
762502015402556213
oct6021427603535143
91024654364318004
10212312012012131
11617160228aa9a9
121b98b5a72b8257
139160c24289545
143a5dd55bac243
151982ac8eb3621
hexc118be0eba63

212312012012131 has 2 divisors, whose sum is σ = 212312012012132. Its totient is φ = 212312012012130.

The previous prime is 212312012012099. The next prime is 212312012012153. The reversal of 212312012012131 is 131210210213212.

It is a happy number.

It is an a-pointer prime, because the next prime (212312012012153) can be obtained adding 212312012012131 to its sum of digits (22).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 212312012012131 - 25 = 212312012012099 is a prime.

It is a super-2 number, since 2×2123120120121312 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212312012012431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156006006065 + 106156006006066.

It is an arithmetic number, because the mean of its divisors is an integer number (106156006006066).

Almost surely, 2212312012012131 is an apocalyptic number.

212312012012131 is a deficient number, since it is larger than the sum of its proper divisors (1).

212312012012131 is an equidigital number, since it uses as much as digits as its factorization.

212312012012131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 212312012012131 its reverse (131210210213212), we get a palindrome (343522222225343).

The spelling of 212312012012131 in words is "two hundred twelve trillion, three hundred twelve billion, twelve million, twelve thousand, one hundred thirty-one".