Search a number
-
+
12012013013301 = 337251253209659
BaseRepresentation
bin1010111011001100001111…
…0001001100100100110101
31120112100002211200102001000
42232303003301030210311
53033301100312411201
641314124222353513
72346560610645630
oct256630361144465
946470084612030
1012012013013301
1139112a2214574
121420012a2b899
1369196045c692
142d7555226c17
1515c6d78b1d86
hexaecc3c4c935

12012013013301 has 32 divisors (see below), whose sum is σ = 20418826982400. Its totient is φ = 6836660766000.

The previous prime is 12012013013263. The next prime is 12012013013411. The reversal of 12012013013301 is 10331031021021.

12012013013301 is a `hidden beast` number, since 1 + 20 + 12 + 0 + 1 + 301 + 330 + 1 = 666.

12012013013301 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 12012013013301 - 29 = 12012013012789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012013013101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126557391 + ... + 126652268.

It is an arithmetic number, because the mean of its divisors is an integer number (638088343200).

Almost surely, 212012013013301 is an apocalyptic number.

It is an amenable number.

12012013013301 is a deficient number, since it is larger than the sum of its proper divisors (8406813969099).

12012013013301 is a wasteful number, since it uses less digits than its factorization.

12012013013301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253209926 (or 253209920 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12012013013301 its reverse (10331031021021), we get a palindrome (22343044034322).

The spelling of 12012013013301 in words is "twelve trillion, twelve billion, thirteen million, thirteen thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 189 251 753 1757 2259 5271 6777 15813 47439 253209659 759628977 1772467613 2278886931 5317402839 6836660793 15952208517 47856625551 63555624409 190666873227 444889370863 572000619681 1334668112589 1716001859043 4004004337767 12012013013301