Base | Representation |
---|---|
bin | 11101101111111010001… |
… | …01110100101000100000 |
3 | 10121201100121222022102121 |
4 | 32313331011310220200 |
5 | 113221332233123404 |
6 | 2101323142554024 |
7 | 133563625432300 |
oct | 16677505645040 |
9 | 3551317868377 |
10 | 1022153411104 |
11 | 364546a53611 |
12 | 146125138914 |
13 | 75508b42217 |
14 | 3768871d600 |
15 | 1b8c6599e54 |
hex | edfd174a20 |
1022153411104 has 144 divisors (see below), whose sum is σ = 2386016709048. Its totient is φ = 429705658368.
The previous prime is 1022153411093. The next prime is 1022153411113. The reversal of 1022153411104 is 4011143512201.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 646448160400 + 375705250704 = 804020^2 + 612948^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17157112 + ... + 17216584.
Almost surely, 21022153411104 is an apocalyptic number.
1022153411104 is a gapful number since it is divisible by the number (14) 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 1022153411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193008354524).
1022153411104 is an abundant number, since it is smaller than the sum of its proper divisors (1363863297944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022153411104 is a wasteful number, since it uses less digits than its factorization.
1022153411104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59707 (or 59692 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 25.
Adding to 1022153411104 its reverse (4011143512201), we get a palindrome (5033296923305).
The spelling of 1022153411104 in words is "one trillion, twenty-two billion, one hundred fifty-three million, four hundred eleven thousand, one hundred four".
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