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2023123331 is a prime number
BaseRepresentation
bin111100010010110…
…0110100110000011
312012222212022110202
41320211212212003
513120404421311
6532430315415
7101064156515
oct17045464603
95188768422
102023123331
11949000559
12485658b6b
132631b22c8
14152997bb5
15bc92de3b
hex78966983

2023123331 has 2 divisors, whose sum is σ = 2023123332. Its totient is φ = 2023123330.

The previous prime is 2023123307. The next prime is 2023123339. The reversal of 2023123331 is 1333213202.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2023123331 is a prime.

It is a super-2 number, since 2×20231233312 = 8186056024873071122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2023123339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011561665 + 1011561666.

It is an arithmetic number, because the mean of its divisors is an integer number (1011561666).

Almost surely, 22023123331 is an apocalyptic number.

2023123331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023123331 is an equidigital number, since it uses as much as digits as its factorization.

2023123331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2023123331 is about 44979.1432888622. The cubic root of 2023123331 is about 1264.7580514945.

Adding to 2023123331 its reverse (1333213202), we get a palindrome (3356336533).

The spelling of 2023123331 in words is "two billion, twenty-three million, one hundred twenty-three thousand, three hundred thirty-one".