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201133211441211 = 3276078835956537
BaseRepresentation
bin101101101110110111111001…
…100111101101100000111011
3222101011010222022212211211100
4231232313321213231200323
5202330331304112104321
61551435153255302443
760236252323532340
oct5556677147554073
9871133868784740
10201133211441211
11590a6130365715
121a684b6967aa23
13882ca1b8755ca
143794c83c5c7c7
15183be0a577326
hexb6edf99ed83b

201133211441211 has 48 divisors (see below), whose sum is σ = 332953128761344. Its totient is φ = 114613950229632.

The previous prime is 201133211441153. The next prime is 201133211441287. The reversal of 201133211441211 is 112144112331102.

201133211441211 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 3 + 2 + 1 + 1 + 441 + 211 = 666.

It is not a de Polignac number, because 201133211441211 - 223 = 201133203052603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201133211441111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30788535 + ... + 36745071.

Almost surely, 2201133211441211 is an apocalyptic number.

201133211441211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201133211441211 is a deficient number, since it is larger than the sum of its proper divisors (131819917320133).

201133211441211 is a wasteful number, since it uses less digits than its factorization.

201133211441211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958040 (or 5958037 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 201133211441211 its reverse (112144112331102), we get a palindrome (313277323772313).

The spelling of 201133211441211 in words is "two hundred one trillion, one hundred thirty-three billion, two hundred eleven million, four hundred forty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 607 883 1821 2649 4249 5463 6181 7947 12747 18543 38241 55629 535981 1607943 3751867 4823829 5956537 11255601 17869611 33766803 41695759 53608833 125087277 375261831 3615617959 5259622171 10846853877 15778866513 25309325713 32540561631 36817355197 47336599539 75927977139 110452065591 227783931417 331356196773 3192590657797 9577771973391 22348134604579 28733315920173 67044403813737 201133211441211