Base | Representation |
---|---|
bin | 111000111010101010… |
… | …1000101011100100000 |
3 | 102200111020200200000000 |
4 | 1301311111011130200 |
5 | 4000310222432023 |
6 | 132052304300000 |
7 | 11554624666200 |
oct | 1616525053440 |
9 | 380436620000 |
10 | 122227545888 |
11 | 47922299338 |
12 | 1b831911600 |
13 | b6ab841966 |
14 | 5cb7114400 |
15 | 32a5814243 |
hex | 1c75545720 |
122227545888 has 486 divisors, whose sum is σ = 423750320721. Its totient is φ = 34601769216.
The previous prime is 122227545857. The next prime is 122227545899. The reversal of 122227545888 is 888545722221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
122227545888 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 7 + 54 + 588 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 117284331024 + 4943214864 = 342468^2 + 70308^2 .
It is a tau number, because it is divible by the number of its divisors (486).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=247212.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 80 ways as a sum of consecutive naturals, for example, 1121353578 + ... + 1121353686.
Almost surely, 2122227545888 is an apocalyptic number.
122227545888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122227545888
122227545888 is an abundant number, since it is smaller than the sum of its proper divisors (301522774833).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122227545888 is an frugal number, since it uses more digits than its factorization.
122227545888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266 (or 121 counting only the distinct ones).
The product of its digits is 5734400, while the sum is 54.
The spelling of 122227545888 in words is "one hundred twenty-two billion, two hundred twenty-seven million, five hundred forty-five thousand, eight hundred eighty-eight".
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