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211011122022012 = 223313831810756891
BaseRepresentation
bin101111111110100111011010…
…111110001100011001111100
31000200010110120220022222212000
4233332213122332030121330
5210124201234214201022
62024441100552342300
762306023212236244
oct5776473276143174
91020113526288760
10211011122022012
1161264350372a94
121b7bb4519a4990
139098356991940
143a16dc8350b24
15195dd3bd8c6ac
hexbfe9daf8c67c

211011122022012 has 96 divisors (see below), whose sum is σ = 596246029397760. Its totient is φ = 64144252071360.

The previous prime is 211011122021951. The next prime is 211011122022031. The reversal of 211011122022012 is 210220221110112.

211011122022012 is a `hidden beast` number, since 2 + 110 + 111 + 220 + 220 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905261914 + ... + 905494977.

It is an arithmetic number, because the mean of its divisors is an integer number (6210896139560).

Almost surely, 2211011122022012 is an apocalyptic number.

It is an amenable number.

211011122022012 is an abundant number, since it is smaller than the sum of its proper divisors (385234907375748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211011122022012 is a wasteful number, since it uses less digits than its factorization.

211011122022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810757000 (or 1810756992 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211011122022012 its reverse (210220221110112), we get a palindrome (421231343132124).

The spelling of 211011122022012 in words is "two hundred eleven trillion, eleven billion, one hundred twenty-two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 996 1079 1404 1494 2158 2241 2988 3237 4316 4482 6474 8964 9711 12948 19422 29133 38844 58266 116532 1810756891 3621513782 5432270673 7243027564 10864541346 16296812019 21729082692 23539839583 32593624038 47079679166 48890436057 65187248076 70619518749 94159358332 97780872114 141239037498 150292821953 195561744228 211858556247 282478074996 300585643906 423717112494 450878465859 601171287812 635575668741 847434224988 901756931718 1271151337482 1352635397577 1803513863436 1953806685389 2542302674964 2705270795154 3907613370778 4057906192731 5410541590308 5861420056167 7815226741556 8115812385462 11722840112334 16231624770924 17584260168501 23445680224668 35168520337002 52752780505503 70337040674004 105505561011006 211011122022012