Search a number
-
+
12301044010321 = 111294186413471
BaseRepresentation
bin1011001100000000111101…
…0110111100110101010001
31121112222010220111100110111
42303000033112330311101
53103020014231312241
642055004400001321
72406502223615623
oct263001726746521
947488126440414
1012301044010321
113a12930724550
121468036900241
136b2ca28c7681
14307533646c13
15164ea20a5c81
hexb300f5bcd51

12301044010321 has 8 divisors (see below), whose sum is σ = 13420357855488. Its totient is φ = 11181903018000.

The previous prime is 12301044010313. The next prime is 12301044010349.

12301044010321 is nontrivially palindromic in base 10.

12301044010321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 12301044010321 - 23 = 12301044010313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12301044010292 and 12301044010301.

It is not an unprimeable number, because it can be changed into a prime (12301044010351) 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, 43064385 + ... + 43349086.

It is an arithmetic number, because the mean of its divisors is an integer number (1677544731936).

Almost surely, 212301044010321 is an apocalyptic number.

12301044010321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12301044010321 is a deficient number, since it is larger than the sum of its proper divisors (1119313845167).

12301044010321 is a wasteful number, since it uses less digits than its factorization.

12301044010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86426423.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 1230104 and 4010321, that added together give a palindrome (5240425).

The spelling of 12301044010321 in words is "twelve trillion, three hundred one billion, forty-four million, ten thousand, three hundred twenty-one".

Divisors: 1 11 12941 142351 86413471 950548181 1118276728211 12301044010321