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12341133114321 = 3112849313125109
BaseRepresentation
bin1011001110010110010011…
…0110101111101111010001
31121200210121210012211200010
42303211210312233233101
53104144120034124241
642125234400345133
72412421532441064
oct263454466575721
947623553184603
1012341133114321
113a28932a01760
1214739646151a9
136b69c127709b
143094579aa8db
1516604b7ddd16
hexb3964dafbd1

12341133114321 has 16 divisors (see below), whose sum is σ = 17951370448320. Its totient is φ = 7479211542720.

The previous prime is 12341133114313. The next prime is 12341133114347.

It is a happy number.

12341133114321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12341133114321 - 23 = 12341133114313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12341133114311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5622286 + ... + 7502823.

It is an arithmetic number, because the mean of its divisors is an integer number (1121960653020).

Almost surely, 212341133114321 is an apocalyptic number.

12341133114321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12341133114321 is a deficient number, since it is larger than the sum of its proper divisors (5610237333999).

12341133114321 is a wasteful number, since it uses less digits than its factorization.

12341133114321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153616.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1234113 and 3114321, that added together give a palindrome (4348434).

The spelling of 12341133114321 in words is "twelve trillion, three hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 11 33 28493 85479 313423 940269 13125109 39375327 144376199 433128597 373973730737 1121921192211 4113711038107 12341133114321