Search a number
-
+
212111233331022 = 23220179758395107
BaseRepresentation
bin110000001110100111111110…
…101101110010111101001110
31000211000122011112211211211200
4300032213332231302331032
5210300212301213043042
62031042315543530330
762451350045126664
oct6016477655627516
91024018145754750
10212111233331022
116164896153a0a3
121b9586b2a599a6
13914800784001c
143a5434a510c34
15197c7774c8c4c
hexc0e9feb72f4e

212111233331022 has 24 divisors (see below), whose sum is σ = 459576624163176. Its totient is φ = 70703392862256.

The previous prime is 212111233330951. The next prime is 212111233331029. The reversal of 212111233331022 is 220133332111212.

212111233331022 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 1 + 12 + 333 + 310 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111233331029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25565208 + ... + 32829899.

It is an arithmetic number, because the mean of its divisors is an integer number (19149026006799).

Almost surely, 2212111233331022 is an apocalyptic number.

212111233331022 is an abundant number, since it is smaller than the sum of its proper divisors (247465390832154).

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

212111233331022 is a wasteful number, since it uses less digits than its factorization.

212111233331022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58596912 (or 58596909 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212111233331022 its reverse (220133332111212), we get a palindrome (432244565442234).

The spelling of 212111233331022 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred thirty-three million, three hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 201797 403594 605391 1210782 1816173 3632346 58395107 116790214 175185321 350370642 525555963 1051111926 11783957407279 23567914814558 35351872221837 70703744443674 106055616665511 212111233331022