Base | Representation |
---|---|
bin | 111000111010001111… |
… | …0001000101111000010 |
3 | 102200110020120211211000 |
4 | 1301310132020233002 |
5 | 4000243031011232 |
6 | 132051031432430 |
7 | 11554361363550 |
oct | 1616436105702 |
9 | 380406524730 |
10 | 122213141442 |
11 | 47915150037 |
12 | 1b828b25716 |
13 | b6a886a412 |
14 | 5cb5244bd0 |
15 | 32a441b27c |
hex | 1c74788bc2 |
122213141442 has 128 divisors (see below), whose sum is σ = 315999774720. Its totient is φ = 34288038720.
The previous prime is 122213141417. The next prime is 122213141447. The reversal of 122213141442 is 244141312221.
122213141442 is a `hidden beast` number, since 1 + 2 + 2 + 213 + 1 + 4 + 1 + 442 = 666.
It is a super-2 number, since 2×1222131414422 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (122213141447) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14822173 + ... + 14830415.
It is an arithmetic number, because the mean of its divisors is an integer number (2468748240).
Almost surely, 2122213141442 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122213141442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157999887360).
122213141442 is an abundant number, since it is smaller than the sum of its proper divisors (193786633278).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122213141442 is a wasteful number, since it uses less digits than its factorization.
122213141442 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8965 (or 8959 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
Adding to 122213141442 its reverse (244141312221), we get a palindrome (366354453663).
The spelling of 122213141442 in words is "one hundred twenty-two billion, two hundred thirteen million, one hundred forty-one thousand, four hundred forty-two".
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