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211120122212249 is a prime number
BaseRepresentation
bin110000000000001100111011…
…111000111010111110011001
31000200111212221022102101001212
4300000030323320322332121
5210132443002241242444
62025003124544552505
762316632303460365
oct6000147370727631
91020455838371055
10211120122212249
11612a65a510a238
121b8185b1922735
1390a5707cba123
143a1c3a88362a5
151961abb2e019e
hexc0033be3af99

211120122212249 has 2 divisors, whose sum is σ = 211120122212250. Its totient is φ = 211120122212248.

The previous prime is 211120122212203. The next prime is 211120122212309. The reversal of 211120122212249 is 942212221021112.

It is a happy number.

211120122212249 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., 154369889986624 + 56750232225625 = 12424568^2 + 7533275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211120122212249 is a prime.

It is not a weakly prime, because it can be changed into another prime (211120122212449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560061106124 + 105560061106125.

It is an arithmetic number, because the mean of its divisors is an integer number (105560061106125).

Almost surely, 2211120122212249 is an apocalyptic number.

It is an amenable number.

211120122212249 is a deficient number, since it is larger than the sum of its proper divisors (1).

211120122212249 is an equidigital number, since it uses as much as digits as its factorization.

211120122212249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 211120122212249 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred forty-nine".