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12405316401 = 33459456163
BaseRepresentation
bin10111000110110101…
…00001101100110001
31012000112210100221000
423203122201230301
5200401230111101
65410544552213
7616262310132
oct134332415461
935015710830
1012405316401
115296528905
1224a2622669
131229117c0a
148597a7c89
154c9134486
hex2e36a1b31

12405316401 has 8 divisors (see below), whose sum is σ = 18378246560. Its totient is φ = 8270210916.

The previous prime is 12405316397. The next prime is 12405316403. The reversal of 12405316401 is 10461350421.

It is a happy number.

12405316401 is a `hidden beast` number, since 1 + 240 + 5 + 3 + 16 + 401 = 666.

12405316401 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 12405316401 - 22 = 12405316397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 459456163 = 12405316401 / (1 + 2 + 4 + 0 + 5 + 3 + 1 + 6 + 4 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12405316403) 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, 229728055 + ... + 229728108.

It is an arithmetic number, because the mean of its divisors is an integer number (2297280820).

Almost surely, 212405316401 is an apocalyptic number.

It is an amenable number.

12405316401 is a deficient number, since it is larger than the sum of its proper divisors (5972930159).

12405316401 is an equidigital number, since it uses as much as digits as its factorization.

12405316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459456172 (or 459456166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12405316401 its reverse (10461350421), we get a palindrome (22866666822).

The spelling of 12405316401 in words is "twelve billion, four hundred five million, three hundred sixteen thousand, four hundred one".

Divisors: 1 3 9 27 459456163 1378368489 4135105467 12405316401