Base | Representation |
---|---|
bin | 11101110001100100000… |
… | …01101100101010010000 |
3 | 10121210122112010000222121 |
4 | 32320302001230222100 |
5 | 113230142112203240 |
6 | 2101551230144024 |
7 | 133624631313646 |
oct | 16706201545220 |
9 | 3553575100877 |
10 | 1023041522320 |
11 | 3649622a5724 |
12 | 146332652014 |
13 | 7561ab3540c |
14 | 37730663196 |
15 | 1b92952904a |
hex | ee3206ca90 |
1023041522320 has 40 divisors (see below), whose sum is σ = 2378622724920. Its totient is φ = 409207802880.
The previous prime is 1023041522297. The next prime is 1023041522329. The reversal of 1023041522320 is 232251403201.
It can be written as a sum of positive squares in 4 ways, for example, as 199855490704 + 823186031616 = 447052^2 + 907296^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×10230415223202 (a number of 25 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1023041522329) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 4628730 + ... + 4844710.
It is an arithmetic number, because the mean of its divisors is an integer number (59465568123).
Almost surely, 21023041522320 is an apocalyptic number.
1023041522320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1023041522320 is an abundant number, since it is smaller than the sum of its proper divisors (1355581202600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023041522320 is a wasteful number, since it uses less digits than its factorization.
1023041522320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275203 (or 275197 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 25.
Adding to 1023041522320 its reverse (232251403201), we get a palindrome (1255292925521).
The spelling of 1023041522320 in words is "one trillion, twenty-three billion, forty-one million, five hundred twenty-two thousand, three hundred twenty".
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