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311122030030249 is a prime number
BaseRepresentation
bin100011010111101101011111…
…0000101001110110110101001
31111210120222100012122002122111
41012233122332011032312221
5311234410404141431444
63021411253142522321
7122350552640053354
oct10657327605166651
91453528305562574
10311122030030249
11901511260212a9
122aa8964a4363a1
131047a8b2473259
1456b855ab8929b
1525e7ee8314234
hex11af6be14eda9

311122030030249 has 2 divisors, whose sum is σ = 311122030030250. Its totient is φ = 311122030030248.

The previous prime is 311122030030187. The next prime is 311122030030271. The reversal of 311122030030249 is 942030030221113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165769951028224 + 145352079002025 = 12875168^2 + 12056205^2 .

It is a cyclic number.

It is not a de Polignac number, because 311122030030249 - 27 = 311122030030121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311122030030249.

It is not a weakly prime, because it can be changed into another prime (311122030030349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155561015015124 + 155561015015125.

It is an arithmetic number, because the mean of its divisors is an integer number (155561015015125).

Almost surely, 2311122030030249 is an apocalyptic number.

It is an amenable number.

311122030030249 is a deficient number, since it is larger than the sum of its proper divisors (1).

311122030030249 is an equidigital number, since it uses as much as digits as its factorization.

311122030030249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 311122030030249 in words is "three hundred eleven trillion, one hundred twenty-two billion, thirty million, thirty thousand, two hundred forty-nine".