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12323322332321 = 731113251245129
BaseRepresentation
bin1011001101010011111101…
…0000000000010010100001
31121122002122112002100221112
42303110333100000102201
53103401131004113241
642113131153433105
72411221262336000
oct263247720002241
947562575070845
1012323322332321
113a21323208610
12147041386b795
136b51132c7320
14308648356c37
15165857d601eb
hexb353f4004a1

12323322332321 has 32 divisors (see below), whose sum is σ = 16883672736000. Its totient is φ = 8863928115840.

The previous prime is 12323322332303. The next prime is 12323322332411.

12323322332321 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-12323322332321 is a prime.

It is a super-2 number, since 2×123233223323212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12323322332021) 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, 125573516 + ... + 125671613.

It is an arithmetic number, because the mean of its divisors is an integer number (527614773000).

Almost surely, 212323322332321 is an apocalyptic number.

12323322332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12323322332321 is a deficient number, since it is larger than the sum of its proper divisors (4560350403679).

12323322332321 is a wasteful number, since it uses less digits than its factorization.

12323322332321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251245174 (or 251245160 counting only the distinct ones).

The product of its digits is 46656, while the sum is 32.

It can be divided in two parts, 1232332 and 2332321, that added together give a palindrome (3564653).

The spelling of 12323322332321 in words is "twelve trillion, three hundred twenty-three billion, three hundred twenty-two million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 343 539 637 1001 3773 4459 7007 49049 251245129 1758715903 2763696419 3266186677 12311011321 19345874933 22863306739 35928053447 86177079247 135421124531 160043147173 251496374129 947947871717 1120302030211 1760474618903 12323322332321