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211123211133211 = 1324398329554751
BaseRepresentation
bin110000000000001111110100…
…000000001110000100011011
31000200112011220120202211000221
4300000033310000032010123
5210133020314022230321
62025004355251140511
762320101662043016
oct6000176400160433
91020464816684027
10211123211133211
11612a793a794283
121b8191142a4737
1390a5aaac36400
143a1c5bcb8837d
151961bec59ae41
hexc003f400e11b

211123211133211 has 24 divisors (see below), whose sum is σ = 234167265294336. Its totient is φ = 190157153004000.

The previous prime is 211123211133209. The next prime is 211123211133223. The reversal of 211123211133211 is 112331112321112.

It is not a de Polignac number, because 211123211133211 - 21 = 211123211133209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211123211133511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7633915 + ... + 21920836.

It is an arithmetic number, because the mean of its divisors is an integer number (9756969387264).

Almost surely, 2211123211133211 is an apocalyptic number.

211123211133211 is a deficient number, since it is larger than the sum of its proper divisors (23044054161125).

211123211133211 is a wasteful number, since it uses less digits than its factorization.

211123211133211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29555803 (or 29555790 counting only the distinct ones).

The product of its digits is 432, while the sum is 25.

Adding to 211123211133211 its reverse (112331112321112), we get a palindrome (323454323454323).

The spelling of 211123211133211 in words is "two hundred eleven trillion, one hundred twenty-three billion, two hundred eleven million, one hundred thirty-three thousand, two hundred eleven".

Divisors: 1 13 43 169 559 983 7267 12779 42269 166127 549497 7143461 29554751 384211763 1270854293 4994752919 16521105809 29052320233 214774375517 377680163029 1249249770019 4909842119377 16240247010247 211123211133211