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212122112323011 = 31131326849764891
BaseRepresentation
bin110000001110110010000111…
…001001110110110111000011
31000211001200020201120220021220
4300032302013021312313003
5210300402041223314021
62031051315250250123
762452213455052542
oct6016620711666703
91024050221526256
10212122112323011
1161652534437870
121b95a82a286943
13914904c6799a7
143a54a9d2c2159
15197cbb2613cc6
hexc0ec87276dc3

212122112323011 has 32 divisors (see below), whose sum is σ = 309538942214400. Its totient is φ = 128143184332800.

The previous prime is 212122112322979. The next prime is 212122112323013. The reversal of 212122112323011 is 110323211221212.

212122112323011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212122112323011 - 25 = 212122112322979 is a prime.

It is a super-2 number, since 2×2121221123230112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212122112323013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276940876 + ... + 277705766.

It is an arithmetic number, because the mean of its divisors is an integer number (9673091944200).

Almost surely, 2212122112323011 is an apocalyptic number.

212122112323011 is a deficient number, since it is larger than the sum of its proper divisors (97416829891389).

212122112323011 is a wasteful number, since it uses less digits than its factorization.

212122112323011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792067.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 212122112323011 its reverse (110323211221212), we get a palindrome (322445323544223).

The spelling of 212122112323011 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, three hundred twenty-three thousand, eleven".

Divisors: 1 3 11 33 313 939 3443 10329 26849 80547 295339 764891 886017 2294673 8403737 8413801 25211211 25241403 92441107 239410883 277323321 718232649 2633519713 7900559139 20536558459 61609675377 225902143049 677706429147 6427942797667 19283828393001 70707370774337 212122112323011