Search a number
-
+
12331313132221 = 23717551324637
BaseRepresentation
bin1011001101110001101110…
…0010011111001010111101
31121122212021102012001200101
42303130123202133022331
53104014012130212341
642120532124201101
72411623302120466
oct263343342371275
947585242161611
1012331313132221
113a24753871876
121471a83999191
136b5ab79689a5
14308ba5707d6d
15165b7463e831
hexb371b89f2bd

12331313132221 has 8 divisors (see below), whose sum is σ = 13048688974464. Its totient is φ = 11629039939440.

The previous prime is 12331313132207. The next prime is 12331313132249. The reversal of 12331313132221 is 12223131313321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12331313132221 - 27 = 12331313132093 is a prime.

It is a super-4 number, since 4×123313131322214 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12331313132221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331313136221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3775660686 + ... + 3775663951.

It is an arithmetic number, because the mean of its divisors is an integer number (1631086121808).

Almost surely, 212331313132221 is an apocalyptic number.

It is an amenable number.

12331313132221 is a deficient number, since it is larger than the sum of its proper divisors (717375842243).

12331313132221 is an equidigital number, since it uses as much as digits as its factorization.

12331313132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7551324731.

The product of its digits is 3888, while the sum is 28.

Adding to 12331313132221 its reverse (12223131313321), we get a palindrome (24554444445542).

The spelling of 12331313132221 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 23 71 1633 7551324637 173680466651 536144049227 12331313132221