Search a number
-
+
201001323211121 = 172907766820627
BaseRepresentation
bin101101101100111101000100…
…011110000010100101110001
3222100200112112210220120110202
4231230331010132002211301
5202321201202220223441
61551254422205004545
760223603111216106
oct5554750436024561
9870615483816422
10201001323211121
115905520094a354
121a6634a0553755
13882046072b584
14378c731ab0aad
15183878ba7d19b
hexb6cf44782971

201001323211121 has 12 divisors (see below), whose sum is σ = 213755850978768. Its totient is φ = 188969140506432.

The previous prime is 201001323211111. The next prime is 201001323211127. The reversal of 201001323211121 is 121112323100102.

201001323211121 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 201001323211121 - 230 = 201000249469297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201001323211093 and 201001323211102.

It is not an unprimeable number, because it can be changed into a prime (201001323211127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383148191 + ... + 383672436.

It is an arithmetic number, because the mean of its divisors is an integer number (17812987581564).

Almost surely, 2201001323211121 is an apocalyptic number.

It is an amenable number.

201001323211121 is a deficient number, since it is larger than the sum of its proper divisors (12754527767647).

201001323211121 is an equidigital number, since it uses as much as digits as its factorization.

201001323211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766821568 (or 766821551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201001323211121 its reverse (121112323100102), we get a palindrome (322113646311223).

The spelling of 201001323211121 in words is "two hundred one trillion, one billion, three hundred twenty-three million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 17 289 907 15419 262123 766820627 13035950659 221611161203 695506308689 11823607247713 201001323211121