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12011332233231 = 322333572049923
BaseRepresentation
bin1010111011001001101100…
…1100001110100000001111
31120112021100101200012100100
42232302123030032200033
53033243202022430411
641313532503102143
72346535003264242
oct256623314164017
946467311605310
1012011332233231
113910a82a02411
12141ba62a41953
136918823bc636
142d74cca53259
1515c697c39456
hexaec9b30e80f

12011332233231 has 12 divisors (see below), whose sum is σ = 17357138794008. Its totient is φ = 8004122508624.

The previous prime is 12011332233227. The next prime is 12011332233239. The reversal of 12011332233231 is 13233223311021.

12011332233231 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 3 + 322 + 332 + 3 + 1 = 666.

12011332233231 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 12011332233231 - 22 = 12011332233227 is a prime.

It is a super-2 number, since 2×120113322332312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011332233195 and 12011332233204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011332233239) 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, 286003965 + ... + 286045958.

It is an arithmetic number, because the mean of its divisors is an integer number (1446428232834).

Almost surely, 212011332233231 is an apocalyptic number.

12011332233231 is a deficient number, since it is larger than the sum of its proper divisors (5345806560777).

12011332233231 is a wasteful number, since it uses less digits than its factorization.

12011332233231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572052262 (or 572052259 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12011332233231 its reverse (13233223311021), we get a palindrome (25244555544252).

It can be divided in two parts, 120113 and 32233231, that added together give a square (32353344 = 56882).

The spelling of 12011332233231 in words is "twelve trillion, eleven billion, three hundred thirty-two million, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 2333 6999 20997 572049923 1716149769 5148449307 1334592470359 4003777411077 12011332233231