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12211210221093 = 3213104369318129
BaseRepresentation
bin1011000110110010010011…
…0110001111011000100101
31121020101021020101000122200
42301230210312033120211
53100032024304033333
641545430314045113
72400142113166602
oct261544466173045
947211236330580
1012211210221093
113988821908034
121452745719799
136a768735ba80
143030508536a9
1516299560bc13
hexb1b24d8f625

12211210221093 has 12 divisors (see below), whose sum is σ = 18995215899660. Its totient is φ = 7514590905216.

The previous prime is 12211210221073. The next prime is 12211210221157. The reversal of 12211210221093 is 39012201211221.

12211210221093 is a `hidden beast` number, since 1 + 221 + 1 + 210 + 221 + 0 + 9 + 3 = 666.

12211210221093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6831626332644 + 5379583888449 = 2613738^2 + 2319393^2 .

It is not a de Polignac number, because 12211210221093 - 226 = 12211143112229 is a prime.

It is a super-2 number, since 2×122112102210932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211210221043) 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, 52184658948 + ... + 52184659181.

It is an arithmetic number, because the mean of its divisors is an integer number (1582934658305).

Almost surely, 212211210221093 is an apocalyptic number.

12211210221093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12211210221093 is a deficient number, since it is larger than the sum of its proper divisors (6784005678567).

12211210221093 is a wasteful number, since it uses less digits than its factorization.

12211210221093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104369318148 (or 104369318145 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12211210221093 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, two hundred twenty-one thousand, ninety-three".

Divisors: 1 3 9 13 39 117 104369318129 313107954387 939323863161 1356801135677 4070403407031 12211210221093