Search a number
-
+
12013442431011 = 3272367312319243
BaseRepresentation
bin1010111011010001100011…
…1101111111100000100011
31120112110210110101100111200
42232310120331333200203
53033312012230243021
641314522124012243
72346641205543330
oct256643075774043
946473713340450
1012013442431011
11391196607621a
121420351691083
13691b2a63b088
142d764cdd5987
1515c76d118126
hexaed18f7f823

12013442431011 has 48 divisors (see below), whose sum is σ = 20724713458176. Its totient is φ = 6556596254208.

The previous prime is 12013442430967. The next prime is 12013442431019. The reversal of 12013442431011 is 11013424431021.

It is a happy number.

12013442431011 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 344 + 2 + 4 + 310 + 1 + 1 = 666.

It is not a de Polignac number, because 12013442431011 - 211 = 12013442428963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12013442431019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5184445 + ... + 7134798.

It is an arithmetic number, because the mean of its divisors is an integer number (431764863712).

Almost surely, 212013442431011 is an apocalyptic number.

12013442431011 is a deficient number, since it is larger than the sum of its proper divisors (8711271027165).

12013442431011 is a wasteful number, since it uses less digits than its factorization.

12013442431011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319952 (or 12319949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12013442431011 its reverse (11013424431021), we get a palindrome (23026866862032).

The spelling of 12013442431011 in words is "twelve trillion, thirteen billion, four hundred forty-two million, four hundred thirty-one thousand, eleven".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 673 1449 2019 4711 6057 14133 15479 42399 46437 108353 139311 325059 975177 12319243 36957729 86234701 110873187 258704103 283342589 776112309 850027767 1983398123 2550083301 5950194369 8290850539 17850583107 24872551617 58035953773 74617654851 174107861319 190689562397 522323583957 572068687191 1334826936779 1716206061573 4004480810337 12013442431011