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12331013321 = 112271137591
BaseRepresentation
bin10110111101111110…
…00101010011001001
31011211100222101021002
423132333011103021
5200223214411241
65355332224345
7614400612104
oct133677052311
934740871232
1012331013321
115258598900
12248176b0b5
1312169008b3
1484d98573b
154c285889b
hex2defc54c9

12331013321 has 12 divisors (see below), whose sum is σ = 13559284032. Its totient is φ = 11205579000.

The previous prime is 12331013267. The next prime is 12331013323.

12331013321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12331013321 - 210 = 12331012297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12331013293 and 12331013302.

It is not an unprimeable number, because it can be changed into a prime (12331013323) 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, 309236 + ... + 346826.

It is an arithmetic number, because the mean of its divisors is an integer number (1129940336).

Almost surely, 212331013321 is an apocalyptic number.

12331013321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12331013321 is a deficient number, since it is larger than the sum of its proper divisors (1228270711).

12331013321 is a wasteful number, since it uses less digits than its factorization.

12331013321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40324 (or 40313 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 123310 and 13321, that added together give a palindrome (136631).

The spelling of 12331013321 in words is "twelve billion, three hundred thirty-one million, thirteen thousand, three hundred twenty-one".

Divisors: 1 11 121 2711 29821 37591 328031 413501 4548511 101909201 1121001211 12331013321