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2023311321 = 321727747741
BaseRepresentation
bin111100010011001…
…0100011111011001
312020000012212100100
41320212110133121
513120431430241
6532434330013
7101065601553
oct17046243731
95200185310
102023311321
11949119819
12485729909
13263249a45
14152a064d3
15bc9699b6
hex789947d9

2023311321 has 24 divisors (see below), whose sum is σ = 3105712584. Its totient is φ = 1264919040.

The previous prime is 2023311299. The next prime is 2023311331. The reversal of 2023311321 is 1231133202.

2023311321 is a `hidden beast` number, since 202 + 331 + 132 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1550025 + 2021761296 = 1245^2 + 44964^2 .

It is not a de Polignac number, because 2023311321 - 211 = 2023309273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2023311294 and 2023311303.

It is not an unprimeable number, because it can be changed into a prime (2023311331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18511 + ... + 66251.

It is an arithmetic number, because the mean of its divisors is an integer number (129404691).

Almost surely, 22023311321 is an apocalyptic number.

It is an amenable number.

2023311321 is a deficient number, since it is larger than the sum of its proper divisors (1082401263).

2023311321 is a wasteful number, since it uses less digits than its factorization.

2023311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48041 (or 48038 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2023311321 is about 44981.2329866579. The cubic root of 2023311321 is about 1264.7972243415.

Adding to 2023311321 its reverse (1231133202), we get a palindrome (3254444523).

The spelling of 2023311321 in words is "two billion, twenty-three million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 277 831 2493 4709 14127 42381 47741 143223 429669 811597 2434791 7304373 13224257 39672771 119018313 224812369 674437107 2023311321