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12322011022321 = 7111364663190367
BaseRepresentation
bin1011001101001111000100…
…0101110000001111110001
31121121222021010121220210111
42303103301011300033301
53103340434310203241
642112353111501321
72411143630361530
oct263236105601761
947558233556714
1012322011022321
113a2080aa95a40
121470108687841
136b4c6472c450
14308562130317
151657ccb88c81
hexb34f11703f1

12322011022321 has 32 divisors (see below), whose sum is σ = 16544581337088. Its totient is φ = 8862801330240.

The previous prime is 12322011022283. The next prime is 12322011022327.

12322011022321 is nontrivially palindromic in base 10.

12322011022321 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 12322011022321 - 221 = 12322008925169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12322011022292 and 12322011022301.

It is not an unprimeable number, because it can be changed into a prime (12322011022327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64632480 + ... + 64822846.

It is an arithmetic number, because the mean of its divisors is an integer number (517018166784).

Almost surely, 212322011022321 is an apocalyptic number.

12322011022321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12322011022321 is a deficient number, since it is larger than the sum of its proper divisors (4222570314767).

12322011022321 is a wasteful number, since it uses less digits than its factorization.

12322011022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255061.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 1232201 and 1022321, that added together give a palindrome (2254522).

The spelling of 12322011022321 in words is "twelve trillion, three hundred twenty-two billion, eleven million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 64663 190367 452641 711293 840619 1332569 2094037 2474771 4979051 5884333 9246809 14658259 17323397 27222481 64727663 190557367 12309701321 86167909247 135406714531 160026117173 947847001717 1120182820211 1760287288903 12322011022321