Base | Representation |
---|---|
bin | 11101110001111001101… |
… | …10011000001000011000 |
3 | 10121211010011210100020220 |
4 | 32320330312120020120 |
5 | 113231030103312044 |
6 | 2102021234120040 |
7 | 133632264610452 |
oct | 16707466301030 |
9 | 3554104710226 |
10 | 1023223104024 |
11 | 364a45848750 |
12 | 146383420020 |
13 | 75649641204 |
14 | 3774a80d2d2 |
15 | 1b93a446019 |
hex | ee3cd98218 |
1023223104024 has 128 divisors (see below), whose sum is σ = 2881191444480. Its totient is φ = 300006748800.
The previous prime is 1023223104011. The next prime is 1023223104041. The reversal of 1023223104024 is 4204013223201.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1023223103985 and 1023223104003.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59595489 + ... + 59612655.
It is an arithmetic number, because the mean of its divisors is an integer number (22509308160).
Almost surely, 21023223104024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023223104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440595722240).
1023223104024 is an abundant number, since it is smaller than the sum of its proper divisors (1857968340456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023223104024 is a wasteful number, since it uses less digits than its factorization.
1023223104024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24501 (or 24497 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 1023223104024 its reverse (4204013223201), we get a palindrome (5227236327225).
The spelling of 1023223104024 in words is "one trillion, twenty-three billion, two hundred twenty-three million, one hundred four thousand, twenty-four".
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