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331121212231122 = 23218395622901729
BaseRepresentation
bin100101101001001110010101…
…0001110111000110111010010
31121102101212201121021002210200
41023102130222032320313102
5321400042220312343442
63132122552424440030
7126513501213660255
oct11322345216706722
91542355647232720
10331121212231122
1196561798aa0795
1231179614019016
131129b79a1b1681
145baa4d056709c
1528433514a934c
hex12d272a3b8dd2

331121212231122 has 12 divisors (see below), whose sum is σ = 717429293167470. Its totient is φ = 110373737410368.

The previous prime is 331121212231081. The next prime is 331121212231123. The reversal of 331121212231122 is 221132212121133.

331121212231122 is a `hidden beast` number, since 3 + 3 + 11 + 212 + 122 + 311 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243332201593881 + 87789010637241 = 15599109^2 + 9369579^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (331121212231123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9197811450847 + ... + 9197811450882.

Almost surely, 2331121212231122 is an apocalyptic number.

331121212231122 is an abundant number, since it is smaller than the sum of its proper divisors (386308080936348).

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

331121212231122 is a wasteful number, since it uses less digits than its factorization.

331121212231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395622901737 (or 18395622901734 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 331121212231122 its reverse (221132212121133), we get a palindrome (552253424352255).

The spelling of 331121212231122 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred twelve million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 18395622901729 36791245803458 55186868705187 110373737410374 165560606115561 331121212231122