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2024123114020 = 225722065431749
BaseRepresentation
bin11101011101000111001…
…000111010001000100100
321011111121121202000100111
4131131013020322020210
5231130401004122040
64145511435022404
7266144441406400
oct35350710721044
97144547660314
102024123114020
11710475802457
1228835689aa04
13118b49207b37
146dd7a5b6100
15379babdbdea
hex1d74723a224

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".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2065431749 4130863498 8261726996 10327158745 14458022243 20654317490 28916044486 41308634980 57832088972 72290111215 101206155701 144580222430 202412311402 289160444860 404824622804 506030778505 1012061557010 2024123114020