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12022100211 = 311364306067
BaseRepresentation
bin10110011001001001…
…01011000011110011
31011000211200222010210
423030210223003303
5144110124201321
65304535155203
7603630110562
oct131444530363
934024628123
1012022100211
11510a186910
1223b6215b03
131197901b84
14820931bd9
154a5688b76
hex2cc92b0f3

12022100211 has 8 divisors (see below), whose sum is σ = 17486691264. Its totient is φ = 7286121320.

The previous prime is 12022100179. The next prime is 12022100219. The reversal of 12022100211 is 11200122021.

12022100211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12022100211 - 25 = 12022100179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12022100219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182153001 + ... + 182153066.

It is an arithmetic number, because the mean of its divisors is an integer number (2185836408).

Almost surely, 212022100211 is an apocalyptic number.

12022100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12022100211 is a deficient number, since it is larger than the sum of its proper divisors (5464591053).

12022100211 is a wasteful number, since it uses less digits than its factorization.

12022100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364306081.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12022100211 its reverse (11200122021), we get a palindrome (23222222232).

The spelling of 12022100211 in words is "twelve billion, twenty-two million, one hundred thousand, two hundred eleven".

Divisors: 1 3 11 33 364306067 1092918201 4007366737 12022100211