Search a number
-
+
211013122231 is a prime number
BaseRepresentation
bin1100010010000101011…
…1001011100010110111
3202011122212102021001101
43010201113023202313
511424123324402411
6240534343310531
721150046642042
oct3044127134267
9664585367041
10211013122231
1181543451a0a
1234a8ba4b447
1316b8ab8c552
14a2daa09c59
1557502568c1
hex31215cb8b7

211013122231 has 2 divisors, whose sum is σ = 211013122232. Its totient is φ = 211013122230.

The previous prime is 211013122207. The next prime is 211013122237. The reversal of 211013122231 is 132221310112.

211013122231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 211013122231 - 221 = 211011025079 is a prime.

It is a super-2 number, since 2×2110131222312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211013122199 and 211013122208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211013122237) 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, 105506561115 + 105506561116.

It is an arithmetic number, because the mean of its divisors is an integer number (105506561116).

Almost surely, 2211013122231 is an apocalyptic number.

211013122231 is a deficient number, since it is larger than the sum of its proper divisors (1).

211013122231 is an equidigital number, since it uses as much as digits as its factorization.

211013122231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211013122231 its reverse (132221310112), we get a palindrome (343234432343).

The spelling of 211013122231 in words is "two hundred eleven billion, thirteen million, one hundred twenty-two thousand, two hundred thirty-one".