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2023003312 = 241143926183
BaseRepresentation
bin111100010010100…
…1001010010110000
312012222122012211121
41320211021102300
513120342101222
6532423552024
7101063146561
oct17045112260
95188565747
102023003312
11948a29370
124855bb614
1326316c7a5
14152966168
15bc9085c7
hex789494b0

2023003312 has 40 divisors (see below), whose sum is σ = 4285797120. Its totient is φ = 917417280.

The previous prime is 2023003303. The next prime is 2023003313. The reversal of 2023003312 is 2133003202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2023003313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64173 + ... + 90355.

It is an arithmetic number, because the mean of its divisors is an integer number (107144928).

Almost surely, 22023003312 is an apocalyptic number.

2023003312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2023003312 is an abundant number, since it is smaller than the sum of its proper divisors (2262793808).

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

2023003312 is a wasteful number, since it uses less digits than its factorization.

2023003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26641 (or 26635 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2023003312 is about 44977.8091062693. The cubic root of 2023003312 is about 1264.7330409912.

Adding to 2023003312 its reverse (2133003202), we get a palindrome (4156006514).

The spelling of 2023003312 in words is "two billion, twenty-three million, three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 439 878 1756 3512 4829 7024 9658 19316 26183 38632 52366 77264 104732 209464 288013 418928 576026 1152052 2304104 4608208 11494337 22988674 45977348 91954696 126437707 183909392 252875414 505750828 1011501656 2023003312