Search a number
-
+
13312111101201 = 3211197077145721
BaseRepresentation
bin1100000110110111011110…
…1001110100010100010001
31202010121212220121020120100
43001231313221310110101
53221101200420214301
644151255512403013
72542524344240013
oct301556751642421
952117786536510
1013312111101201
1142726a8741640
1215abb870a6469
1375743297b1a3
143404498261b3
1518142a210286
hexc1b77a74511

13312111101201 has 24 divisors (see below), whose sum is σ = 22080694652640. Its totient is φ = 7643317377600.

The previous prime is 13312111101169. The next prime is 13312111101227. The reversal of 13312111101201 is 10210111121331.

13312111101201 is a `hidden beast` number, since 1 + 331 + 21 + 1 + 110 + 1 + 201 = 666.

13312111101201 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 13312111101201 - 25 = 13312111101169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13312111100201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3538570980 + ... + 3538574741.

It is an arithmetic number, because the mean of its divisors is an integer number (920028943860).

Almost surely, 213312111101201 is an apocalyptic number.

13312111101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13312111101201 is a deficient number, since it is larger than the sum of its proper divisors (8768583551439).

13312111101201 is a wasteful number, since it uses less digits than its factorization.

13312111101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077145757 (or 7077145754 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13312111101201 its reverse (10210111121331), we get a palindrome (23522222222532).

The spelling of 13312111101201 in words is "thirteen trillion, three hundred twelve billion, one hundred eleven million, one hundred one thousand, two hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 7077145721 21231437163 63694311489 77848602931 134465768699 233545808793 403397306097 700637426379 1210191918291 1479123455689 4437370367067 13312111101201