Search a number
-
+
211122212022017 = 83277647102113901
BaseRepresentation
bin110000000000001110111000…
…011100111010011100000001
31000200112002022221202201010122
4300000032320130322130001
5210133011242234201032
62025004112200510025
762320035140533262
oct6000167034723401
91020462287681118
10211122212022017
11612a747781824a
121b818a9577b315
1390a597bc4a95a
143a1c5261cc969
151961b8e9e3012
hexc003b873a701

211122212022017 has 32 divisors (see below), whose sum is σ = 214994459361024. Its totient is φ = 207286216416000.

The previous prime is 211122212021957. The next prime is 211122212022041. The reversal of 211122212022017 is 710220212221112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211122212022017 - 242 = 206724165510913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211122212022317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15187548767 + ... + 15187562667.

It is an arithmetic number, because the mean of its divisors is an integer number (6718576855032).

Almost surely, 2211122212022017 is an apocalyptic number.

It is an amenable number.

211122212022017 is a deficient number, since it is larger than the sum of its proper divisors (3872247339007).

211122212022017 is a wasteful number, since it uses less digits than its factorization.

211122212022017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15929.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 211122212022017 its reverse (710220212221112), we get a palindrome (921342424243129).

The spelling of 211122212022017 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, twenty-two thousand, seventeen".

Divisors: 1 83 277 647 1021 13901 22991 53701 84743 179219 282817 660587 1153783 3850577 8993947 14192921 14875177 23473811 54828721 182982599 319597891 746497601 1178012443 2491323319 3931439117 9182819887 15187555717 206779835477 326309446711 762174050621 2543641108699 211122212022017