Base | Representation |
---|---|
bin | 11101110000000001010… |
… | …01001000111110011010 |
3 | 10121201111210002210120000 |
4 | 32320000221020332122 |
5 | 113221443012013424 |
6 | 2101333112113430 |
7 | 133565251101144 |
oct | 16700051107632 |
9 | 3551453083500 |
10 | 1022213001114 |
11 | 364577654458 |
12 | 146141095876 |
13 | 755182a7696 |
14 | 376925d1c94 |
15 | 1b8cb91b3c9 |
hex | ee00a48f9a |
1022213001114 has 80 divisors (see below), whose sum is σ = 2315551929768. Its totient is φ = 337017397248.
The previous prime is 1022213001077. The next prime is 1022213001119. The reversal of 1022213001114 is 4111003122201.
It can be written as a sum of positive squares in 4 ways, for example, as 1021241619225 + 971381889 = 1010565^2 + 31167^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1022213001119) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26647492 + ... + 26685824.
Almost surely, 21022213001114 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1022213001114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157775964884).
1022213001114 is an abundant number, since it is smaller than the sum of its proper divisors (1293338928654).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022213001114 is a wasteful number, since it uses less digits than its factorization.
1022213001114 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 40141 (or 40132 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 1022213001114 its reverse (4111003122201), we get a palindrome (5133216123315).
The spelling of 1022213001114 in words is "one trillion, twenty-two billion, two hundred thirteen million, one thousand, one hundred fourteen".
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