Search a number
-
+
12982689401 = 1141233123547
BaseRepresentation
bin11000001011101010…
…00001111001111001
31020111210012221210012
430011311001321321
5203042032030101
65544132031305
7636503016263
oct140565017171
936453187705
1012982689401
115562431780
122623a62535
1312bb920746
148b2340b33
1550eb82bbb
hex305d41e79

12982689401 has 16 divisors (see below), whose sum is σ = 14570756928. Its totient is φ = 11465068800.

The previous prime is 12982689383. The next prime is 12982689431. The reversal of 12982689401 is 10498628921.

12982689401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12982689401 - 26 = 12982689337 is a prime.

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 12982689401.

It is not an unprimeable number, because it can be changed into a prime (12982689431) 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 15 ways as a sum of consecutive naturals, for example, 43310 + ... + 166856.

It is an arithmetic number, because the mean of its divisors is an integer number (910672308).

Almost surely, 212982689401 is an apocalyptic number.

12982689401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12982689401 is a deficient number, since it is larger than the sum of its proper divisors (1588067527).

12982689401 is a wasteful number, since it uses less digits than its factorization.

12982689401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123832.

The product of its (nonzero) digits is 497664, while the sum is 50.

The spelling of 12982689401 in words is "twelve billion, nine hundred eighty-two million, six hundred eighty-nine thousand, four hundred one".

Divisors: 1 11 41 233 451 2563 9553 105083 123547 1359017 5065427 28786451 55719697 316650961 1180244491 12982689401