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12702182401 = 79461348779
BaseRepresentation
bin10111101010001101…
…11110110000000001
31012210020101201112001
423311012332300001
5202003224314101
65500231504001
7626525524516
oct136506766001
935706351461
1012702182401
115429061707
122565b28001
13127578937c
14886da330d
154e5224901
hex2f51bec01

12702182401 has 8 divisors (see below), whose sum is σ = 12890908800. Its totient is φ = 12514154640.

The previous prime is 12702182387. The next prime is 12702182431. The reversal of 12702182401 is 10428120721.

12702182401 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 a cyclic number.

It is not a de Polignac number, because 12702182401 - 29 = 12702181889 is a prime.

It is a super-2 number, since 2×127021824012 (a number of 21 digits) contains 22 as substring.

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 12702182401.

It is not an unprimeable number, because it can be changed into a prime (12702182431) 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, 137971 + ... + 210808.

It is an arithmetic number, because the mean of its divisors is an integer number (1611363600).

Almost surely, 212702182401 is an apocalyptic number.

It is an amenable number.

12702182401 is a deficient number, since it is larger than the sum of its proper divisors (188726399).

12702182401 is an equidigital number, since it uses as much as digits as its factorization.

12702182401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349319.

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 12702182401 in words is "twelve billion, seven hundred two million, one hundred eighty-two thousand, four hundred one".

Divisors: 1 79 461 36419 348779 27553541 160787119 12702182401