Search a number
-
+
211010120149 is a prime number
BaseRepresentation
bin1100010010000100101…
…1101110100111010101
3202011122122202201222011
43010201023232213111
511424122042321044
6240534155104221
721150012266443
oct3044113564725
9664578681864
10211010120149
1181541791454
1234a8aa42071
1316b8a37ac7a
14a2da467b93
15574ed62134
hex31212ee9d5

211010120149 has 2 divisors, whose sum is σ = 211010120150. Its totient is φ = 211010120148.

The previous prime is 211010120047. The next prime is 211010120231. The reversal of 211010120149 is 941021010112.

211010120149 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 can be written as a sum of positive squares in only one way, i.e., 198632445124 + 12377675025 = 445682^2 + 111255^2 .

It is a cyclic number.

It is not a de Polignac number, because 211010120149 - 27 = 211010120021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211010126149) 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, 105505060074 + 105505060075.

It is an arithmetic number, because the mean of its divisors is an integer number (105505060075).

Almost surely, 2211010120149 is an apocalyptic number.

It is an amenable number.

211010120149 is a deficient number, since it is larger than the sum of its proper divisors (1).

211010120149 is an equidigital number, since it uses as much as digits as its factorization.

211010120149 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 22.

The spelling of 211010120149 in words is "two hundred eleven billion, ten million, one hundred twenty thousand, one hundred forty-nine".