Search a number
-
+
12300302111329 = 41678144242349
BaseRepresentation
bin1011001011111110001100…
…1000110101001001100001
31121112220020012110222101001
42302333203020311021201
53103012004320030304
642054403014312001
72406444644600041
oct262774310651141
947486205428331
1012300302111329
113a1258a967891
121467a6a358601
136b2bb4ca829b
143074a2cc3721
15164e5bda8da4
hexb2fe3235261

12300302111329 has 8 divisors (see below), whose sum is σ = 12602167943400. Its totient is φ = 11998524777600.

The previous prime is 12300302111297. The next prime is 12300302111341. The reversal of 12300302111329 is 92311120300321.

12300302111329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 92601533025 + 12207700578304 = 304305^2 + 3493952^2 .

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 12300302111329 - 25 = 12300302111297 is a prime.

It is a super-2 number, since 2×123003021113292 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12300302111297 and 12300302111306.

It is not an unprimeable number, because it can be changed into a prime (12300302111029) 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, 21843154 + ... + 22399195.

It is an arithmetic number, because the mean of its divisors is an integer number (1575270992925).

Almost surely, 212300302111329 is an apocalyptic number.

It is an amenable number.

12300302111329 is a deficient number, since it is larger than the sum of its proper divisors (301865832071).

12300302111329 is an equidigital number, since it uses as much as digits as its factorization.

12300302111329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44249171.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 12300302111329 in words is "twelve trillion, three hundred billion, three hundred two million, one hundred eleven thousand, three hundred twenty-nine".

Divisors: 1 41 6781 278021 44242349 1813936309 300007368569 12300302111329