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211334424433112 = 23194332333908267
BaseRepresentation
bin110000000011010100100001…
…010011000001000111011000
31000201021101002101212011020002
4300003110201103001013120
5210200000400123324422
62025245405545152132
762341260022342331
oct6003244123010730
91021241071764202
10211334424433112
116137947612a682
121b85203b18b648
1390bc99b412a86
143a288d81c1288
151967460194692
hexc035214c11d8

211334424433112 has 32 divisors (see below), whose sum is σ = 426807589137600. Its totient is φ = 97777738596384.

The previous prime is 211334424433087. The next prime is 211334424433183.

211334424433112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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, 16166947598 + ... + 16166960669.

It is an arithmetic number, because the mean of its divisors is an integer number (13337737160550).

Almost surely, 2211334424433112 is an apocalyptic number.

It is an amenable number.

211334424433112 is an abundant number, since it is smaller than the sum of its proper divisors (215473164704488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211334424433112 is a wasteful number, since it uses less digits than its factorization.

211334424433112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32333908335 (or 32333908331 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The spelling of 211334424433112 in words is "two hundred eleven trillion, three hundred thirty-four billion, four hundred twenty-four million, four hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 19 38 43 76 86 152 172 344 817 1634 3268 6536 32333908267 64667816534 129335633068 258671266136 614344257073 1228688514146 1390358055481 2457377028292 2780716110962 4914754056584 5561432221924 11122864443848 26416803054139 52833606108278 105667212216556 211334424433112