Base | Representation |
---|---|
bin | 11101011101000111001… |
… | …000111010001000100100 |
3 | 21011111121121202000100111 |
4 | 131131013020322020210 |
5 | 231130401004122040 |
6 | 4145511435022404 |
7 | 266144441406400 |
oct | 35350710721044 |
9 | 7144547660314 |
10 | 2024123114020 |
11 | 710475802457 |
12 | 28835689aa04 |
13 | 118b49207b37 |
14 | 6dd7a5b6100 |
15 | 379babdbdea |
hex | 1d74723a224 |
2024123114020 has 36 divisors (see below), whose sum is σ = 4944643609500. Its totient is φ = 693985067328.
The previous prime is 2024123114017. The next prime is 2024123114023. The reversal of 2024123114020 is 204113214202.
It is an interprime number because it is at equal distance from previous prime (2024123114017) and next prime (2024123114023).
It can be written as a sum of positive squares in 2 ways, for example, as 835966433344 + 1188156680676 = 914312^2 + 1090026^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2024123113982 and 2024123114000.
It is not an unprimeable number, because it can be changed into a prime (2024123114023) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 1032714895 + ... + 1032716854.
It is an arithmetic number, because the mean of its divisors is an integer number (137351211375).
Almost surely, 22024123114020 is an apocalyptic number.
2024123114020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2024123114020 is an abundant number, since it is smaller than the sum of its proper divisors (2920520495480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2024123114020 is a wasteful number, since it uses less digits than its factorization.
2024123114020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2065431772 (or 2065431763 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 22.
Adding to 2024123114020 its reverse (204113214202), we get a palindrome (2228236328222).
The spelling of 2024123114020 in words is "two trillion, twenty-four billion, one hundred twenty-three million, one hundred fourteen thousand, twenty".
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