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13342314321 = 3272283106907
BaseRepresentation
bin11000110110100001…
…11000111101010001
31021102211220210102200
430123100320331101
5204311113024241
610043540033413
7651430541400
oct143320707521
937384823380
1013342314321
115727430256
122704392869
13134829685b
14907dd5637
1553151d4b6
hex31b438f51

13342314321 has 36 divisors (see below), whose sum is σ = 22498147152. Its totient is φ = 7597167984.

The previous prime is 13342314319. The next prime is 13342314331. The reversal of 13342314321 is 12341324331.

It is a happy number.

13342314321 is a `hidden beast` number, since 1 + 3 + 342 + 314 + 3 + 2 + 1 = 666.

13342314321 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 13342314321 - 21 = 13342314319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13342314301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71350 + ... + 178256.

It is an arithmetic number, because the mean of its divisors is an integer number (624948532).

Almost surely, 213342314321 is an apocalyptic number.

It is an amenable number.

13342314321 is a deficient number, since it is larger than the sum of its proper divisors (9155832831).

13342314321 is a wasteful number, since it uses less digits than its factorization.

13342314321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107210 (or 107200 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13342314321 its reverse (12341324331), we get a palindrome (25683638652).

The spelling of 13342314321 in words is "thirteen billion, three hundred forty-two million, three hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 283 441 849 1981 2547 5943 13867 17829 41601 106907 124803 320721 748349 962163 2245047 5238443 6735141 15715329 30254681 47145987 90764043 211782767 272292129 635348301 1482479369 1906044903 4447438107 13342314321