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2023130004040 = 23561829151641
BaseRepresentation
bin11101011100001011111…
…100011111101001001000
321011102001102000210120101
4131130023330133221020
5231121332240112130
64145225121135144
7266111022203125
oct35341374375110
97142042023511
102023130004040
11710006165202
1228811a18a4b4
13118a1b540ab2
146dcc473d74c
153795d91c1ca
hex1d70bf1fa48

2023130004040 has 32 divisors (see below), whose sum is σ = 4626666162360. Its totient is φ = 795985574400.

The previous prime is 2023130004017. The next prime is 2023130004073. The reversal of 2023130004040 is 404000313202.

It can be written as a sum of positive squares in 4 ways, for example, as 538295146596 + 1484834857444 = 733686^2 + 1218538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2023130003999 and 2023130004017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414573381 + ... + 414578260.

Almost surely, 22023130004040 is an apocalyptic number.

2023130004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023130004040 is an abundant number, since it is smaller than the sum of its proper divisors (2603536158320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023130004040 is a wasteful number, since it uses less digits than its factorization.

2023130004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829151713 (or 829151709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2023130004040 its reverse (404000313202), we get a palindrome (2427130317242).

The spelling of 2023130004040 in words is "two trillion, twenty-three billion, one hundred thirty million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 829151641 1658303282 3316606564 4145758205 6633213128 8291516410 16583032820 33166065640 50578250101 101156500202 202313000404 252891250505 404626000808 505782501010 1011565002020 2023130004040