Search a number
-
+
12211210212201 = 32711132104265053
BaseRepresentation
bin1011000110110010010011…
…0110001101001101101001
31121020101021020100120110100
42301230210312031031221
53100032024303242301
641545430313540013
72400142113131640
oct261544466151551
947211236316410
1012211210212201
113988821901390
121452745714609
136a7687357a00
14303050850357
15162995609286
hexb1b24d8d369

12211210212201 has 72 divisors (see below), whose sum is σ = 23812470092736. Its totient is φ = 5855525320320.

The previous prime is 12211210212127. The next prime is 12211210212221. The reversal of 12211210212201 is 10221201211221.

12211210212201 is a `hidden beast` number, since 1 + 2 + 211 + 210 + 21 + 220 + 1 = 666.

12211210212201 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 12211210212201 - 210 = 12211210211177 is a prime.

It is a super-2 number, since 2×122112102122012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211210212221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52015410 + ... + 52249643.

It is an arithmetic number, because the mean of its divisors is an integer number (330728751288).

Almost surely, 212211210212201 is an apocalyptic number.

12211210212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211210212201 is a deficient number, since it is larger than the sum of its proper divisors (11601259880535).

12211210212201 is a wasteful number, since it uses less digits than its factorization.

12211210212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104265103 (or 104265087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211210212201 its reverse (10221201211221), we get a palindrome (22432411423422).

The spelling of 12211210212201 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 169 231 273 429 507 693 819 1001 1183 1287 1521 1859 3003 3549 5577 9009 10647 13013 16731 39039 117117 104265053 312795159 729855371 938385477 1146915583 1355445689 2189566113 3440746749 4066337067 6568698339 8028409081 9488119823 10322240247 12199011201 14909902579 17620793957 24085227243 28464359469 44729707737 52862381871 72255681729 85393078407 104369318053 123345557699 134189123211 158587145613 193828733527 313107954159 370036673097 581486200581 939323862477 1110110019291 1356801134689 1744458601743 4070403404067 12211210212201