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211122332202231 = 32173135595589083
BaseRepresentation
bin110000000000001110111111…
…100111010111010011110111
31000200112002122022220111101200
4300000032333213113103313
5210133012014020432411
62025004132132423543
762320041130205022
oct6000167747272367
91020462568814350
10211122332202231
11612a752964243a
121b818b09a77bb3
1390a599ab088c8
143a1c5381541b9
151961b9a331e56
hexc003bf9d74f7

211122332202231 has 12 divisors (see below), whose sum is σ = 306717222508008. Its totient is φ = 139934647932624.

The previous prime is 211122332202191. The next prime is 211122332202247. The reversal of 211122332202231 is 132202233221112.

211122332202231 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 223 + 3 + 2 + 202 + 231 = 666.

It is a de Polignac number, because none of the positive numbers 2k-211122332202231 is a prime.

It is a super-2 number, since 2×2111223322022312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211122332202195 and 211122332202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122332202731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67797792985 + ... + 67797796098.

It is an arithmetic number, because the mean of its divisors is an integer number (25559768542334).

Almost surely, 2211122332202231 is an apocalyptic number.

211122332202231 is a deficient number, since it is larger than the sum of its proper divisors (95594890305777).

211122332202231 is a wasteful number, since it uses less digits than its factorization.

211122332202231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135595589262 (or 135595589259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 211122332202231 its reverse (132202233221112), we get a palindrome (343324565423343).

The spelling of 211122332202231 in words is "two hundred eleven trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred two thousand, two hundred thirty-one".

Divisors: 1 3 9 173 519 1557 135595589083 406786767249 1220360301747 23458036911359 70374110734077 211122332202231