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2023131310181 is a prime number
BaseRepresentation
bin11101011100001100000…
…001011110100001100101
321011102001111111011020222
4131130030001132201211
5231121333103411211
64145225205134125
7266111036253122
oct35341401364145
97142044434228
102023131310181
11710006977563
1228811a6ba345
13118a1b8aa467
146dcc499d749
153795dac91db
hex1d70c05e865

2023131310181 has 2 divisors, whose sum is σ = 2023131310182. Its totient is φ = 2023131310180.

The previous prime is 2023131310087. The next prime is 2023131310229. The reversal of 2023131310181 is 1810131313202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1104619918081 + 918511392100 = 1051009^2 + 958390^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023131310181 - 226 = 2023064201317 is a prime.

It is a super-2 number, since 2×20231313101812 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2023131310181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2023131318181) 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, 1011565655090 + 1011565655091.

It is an arithmetic number, because the mean of its divisors is an integer number (1011565655091).

Almost surely, 22023131310181 is an apocalyptic number.

It is an amenable number.

2023131310181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023131310181 is an equidigital number, since it uses as much as digits as its factorization.

2023131310181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 2023131310181 its reverse (1810131313202), we get a palindrome (3833262623383).

The spelling of 2023131310181 in words is "two trillion, twenty-three billion, one hundred thirty-one million, three hundred ten thousand, one hundred eighty-one".