Base | Representation |
---|---|
bin | 11101110001101101101… |
… | …01111010101011100100 |
3 | 10121210212011010222200222 |
4 | 32320312311322223210 |
5 | 113230323303220400 |
6 | 2102003234023512 |
7 | 133626632141666 |
oct | 16706665725344 |
9 | 3553764128628 |
10 | 1023122320100 |
11 | 3649a3971251 |
12 | 146355717b98 |
13 | 756317b495a |
14 | 3773b296536 |
15 | 1b931689185 |
hex | ee36d7aae4 |
1023122320100 has 36 divisors (see below), whose sum is σ = 2220224591844. Its totient is φ = 409239866880.
The previous prime is 1023122320093. The next prime is 1023122320123. The reversal of 1023122320100 is 10232213201.
It can be written as a sum of positive squares in 6 ways, for example, as 17919570496 + 1005202749604 = 133864^2 + 1002598^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6147584 + ... + 6311816.
It is an arithmetic number, because the mean of its divisors is an integer number (61672905329).
Almost surely, 21023122320100 is an apocalyptic number.
1023122320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1023122320100 is an abundant number, since it is smaller than the sum of its proper divisors (1197102271744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023122320100 is a wasteful number, since it uses less digits than its factorization.
1023122320100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 226544 (or 226537 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
Adding to 1023122320100 its reverse (10232213201), we get a palindrome (1033354533301).
The spelling of 1023122320100 in words is "one trillion, twenty-three billion, one hundred twenty-two million, three hundred twenty thousand, one hundred".
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