Search a number
-
+
212011112001009 = 3732397841516589
BaseRepresentation
bin110000001101001010101111…
…000001001110110111110001
31000210200001201220220022002210
4300031022233001032313301
5210242042224133013014
62030524321004202333
762441203665640446
oct6015125701166761
91023601656808083
10212011112001009
116160a453673a62
121b9412105393a9
13913b73cb5c199
143a4d56d3099cd
151979d677c4859
hexc0d2af04edf1

212011112001009 has 32 divisors (see below), whose sum is σ = 287790057331200. Its totient is φ = 138803310858240.

The previous prime is 212011112000959. The next prime is 212011112001023. The reversal of 212011112001009 is 900100211110212.

212011112001009 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 212011112001009 - 217 = 212011111869937 is a prime.

It is a super-2 number, since 2×2120111120010092 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212011112006009) 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, 410147487 + ... + 410664075.

It is an arithmetic number, because the mean of its divisors is an integer number (8993439291600).

Almost surely, 2212011112001009 is an apocalyptic number.

It is an amenable number.

212011112001009 is a deficient number, since it is larger than the sum of its proper divisors (75778945330191).

212011112001009 is a wasteful number, since it uses less digits than its factorization.

212011112001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524745.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 212011112001009 in words is "two hundred twelve trillion, eleven billion, one hundred twelve million, one thousand, nine".

Divisors: 1 3 73 219 239 717 7841 17447 23523 52341 516589 572393 1549767 1717179 1873999 5621997 37710997 113132991 123464771 136801927 370394313 410405781 4050574349 9012928283 12151723047 27038784849 295691927477 887075782431 968087269411 2904261808233 70670370667003 212011112001009