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13322311322331 = 311403706403707
BaseRepresentation
bin1100000111011101011110…
…1000100100101011011011
31202011121012210010011110010
43001313113220210223123
53221233043144303311
644200104010453003
72543335202550024
oct301672750445333
952147183104403
1013322311322331
114276a6247a760
1215b1b53134163
13758399c9c4ab
14340b363c7c4b
1518182596cda6
hexc1dd7a24adb

13322311322331 has 8 divisors (see below), whose sum is σ = 19377907377984. Its totient is φ = 8074128074120.

The previous prime is 13322311322323. The next prime is 13322311322339.

13322311322331 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13322311322323) and next prime (13322311322339).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13322311322331 - 23 = 13322311322323 is a prime.

It is a super-2 number, since 2×133223113223312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13322311322339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201853201821 + ... + 201853201886.

It is an arithmetic number, because the mean of its divisors is an integer number (2422238422248).

Almost surely, 213322311322331 is an apocalyptic number.

13322311322331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13322311322331 is a deficient number, since it is larger than the sum of its proper divisors (6055596055653).

13322311322331 is a wasteful number, since it uses less digits than its factorization.

13322311322331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403706403721.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 1332231 and 1322331, that added together give a palindrome (2654562).

The spelling of 13322311322331 in words is "thirteen trillion, three hundred twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 403706403707 1211119211121 4440770440777 13322311322331