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12413210401 = 37536330041
BaseRepresentation
bin10111000111110001…
…01000111100100001
31012001002122102110101
423203320220330201
5200410240213101
65411430102401
7616416355534
oct134370507441
935032572411
1012413210401
11529aa2a779
1224a51aaa01
13122a950017
1485a860a1b
154c9b93401
hex2e3e28f21

12413210401 has 8 divisors (see below), whose sum is σ = 12989246184. Its totient is φ = 11849834880.

The previous prime is 12413210357. The next prime is 12413210419. The reversal of 12413210401 is 10401231421.

12413210401 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 9121205025 + 3292005376 = 95505^2 + 57376^2 .

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 12413210401 - 219 = 12412686113 is a prime.

It is a super-3 number, since 3×124132104013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12413210461) 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 7 ways as a sum of consecutive naturals, for example, 3163060 + ... + 3166981.

It is an arithmetic number, because the mean of its divisors is an integer number (1623655773).

Almost surely, 212413210401 is an apocalyptic number.

It is an amenable number.

12413210401 is a deficient number, since it is larger than the sum of its proper divisors (576035783).

12413210401 is an equidigital number, since it uses as much as digits as its factorization.

12413210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330131.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12413210401 its reverse (10401231421), we get a palindrome (22814441822).

The spelling of 12413210401 in words is "twelve billion, four hundred thirteen million, two hundred ten thousand, four hundred one".

Divisors: 1 37 53 1961 6330041 234211517 335492173 12413210401