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2023123221 = 327233713613
BaseRepresentation
bin111100010010110…
…0110100100010101
312012222212022022200
41320211212210111
513120404420341
6532430315113
7101064156300
oct17045464425
95188768280
102023123221
11949000469
12485658a99
132631b2242
14152997b37
15bc92ddb6
hex78966915

2023123221 has 36 divisors (see below), whose sum is σ = 3409735212. Its totient is φ = 1152555264.

The previous prime is 2023123189. The next prime is 2023123231. The reversal of 2023123221 is 1223213202.

It can be written as a sum of positive squares in 2 ways, for example, as 153512100 + 1869611121 = 12390^2 + 43239^2 .

It is not a de Polignac number, because 2023123221 - 25 = 2023123189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2023123194 and 2023123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023123231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141811 + ... + 155423.

It is an arithmetic number, because the mean of its divisors is an integer number (94714867).

Almost surely, 22023123221 is an apocalyptic number.

2023123221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2023123221 is a deficient number, since it is larger than the sum of its proper divisors (1386611991).

2023123221 is a wasteful number, since it uses less digits than its factorization.

2023123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13970 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2023123221 is about 44979.1420660732. The cubic root of 2023123221 is about 1264.7580285723.

Adding to 2023123221 its reverse (1223213202), we get a palindrome (3246336423).

The spelling of 2023123221 in words is "two billion, twenty-three million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 337 441 1011 2359 3033 7077 13613 16513 21231 40839 49539 95291 122517 148617 285873 667037 857619 2001111 4587581 6003333 13762743 32113067 41288229 96339201 224791469 289017603 674374407 2023123221