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2023131310229 is a prime number
BaseRepresentation
bin11101011100001100000…
…001011110100010010101
321011102001111111011022202
4131130030001132202111
5231121333103411404
64145225205134245
7266111036253221
oct35341401364225
97142044434282
102023131310229
117100069775a7
1228811a6ba385
13118a1b8aa4a3
146dcc499d781
153795dac921e
hex1d70c05e895

2023131310229 has 2 divisors, whose sum is σ = 2023131310230. Its totient is φ = 2023131310228.

The previous prime is 2023131310181. The next prime is 2023131310247. The reversal of 2023131310229 is 9220131313202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1417761727204 + 605369583025 = 1190698^2 + 778055^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023131310229 - 28 = 2023131309973 is a prime.

It is a super-3 number, since 3×20231313102293 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2023131310279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011565655114 + 1011565655115.

It is an arithmetic number, because the mean of its divisors is an integer number (1011565655115).

Almost surely, 22023131310229 is an apocalyptic number.

It is an amenable number.

2023131310229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023131310229 is an equidigital number, since it uses as much as digits as its factorization.

2023131310229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 2023131310229 in words is "two trillion, twenty-three billion, one hundred thirty-one million, three hundred ten thousand, two hundred twenty-nine".