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12323133132321 = 31110918231879291
BaseRepresentation
bin1011001101010011001111…
…1110010000111000100001
31121122002011100002000100010
42303110303332100320201
53103400234040213241
642113100314315133
72411213504222334
oct263246376207041
947562140060303
1012323133132321
113a21236431880
121470380428aa9
136b50b3051a6b
1430862b18661b
1516584643ad16
hexb3533f90e21

12323133132321 has 32 divisors (see below), whose sum is σ = 18098935050240. Its totient is φ = 7395983380800.

The previous prime is 12323133132257. The next prime is 12323133132353.

12323133132321 is nontrivially palindromic in base 10.

12323133132321 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 12323133132321 - 26 = 12323133132257 is a prime.

It is a super-2 number, since 2×123231331323212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12323133532321) 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, 5617686 + ... + 7496976.

It is an arithmetic number, because the mean of its divisors is an integer number (565591720320).

Almost surely, 212323133132321 is an apocalyptic number.

12323133132321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12323133132321 is a deficient number, since it is larger than the sum of its proper divisors (5775801917919).

12323133132321 is a wasteful number, since it uses less digits than its factorization.

12323133132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881237.

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

It can be divided in two parts, 1232313 and 3132321, that added together give a palindrome (4364634).

The spelling of 12323133132321 in words is "twelve trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 109 327 1199 1823 3597 5469 20053 60159 198707 596121 1879291 2185777 5637873 6557331 20672201 62016603 204842719 614528157 2253269909 3425947493 6759809727 10277842479 37685422423 113056267269 373428276737 1120284830211 4107711044107 12323133132321