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2023333013329 is a prime number
BaseRepresentation
bin11101011100011000000…
…010111010011101010001
321011102120120000201221221
4131130120002322131101
5231122241222411304
64145301212245041
7266116035563005
oct35343002723521
97142516021857
102023333013329
117100aa813081
12288176170781
13118a5160ca34
146dd036a6705
153797166d054
hex1d7180ba751

2023333013329 has 2 divisors, whose sum is σ = 2023333013330. Its totient is φ = 2023333013328.

The previous prime is 2023333013201. The next prime is 2023333013341. The reversal of 2023333013329 is 9233103333202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1566059524929 + 457273488400 = 1251423^2 + 676220^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023333013329 - 27 = 2023333013201 is a prime.

It is a super-2 number, since 2×20233330133292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023333013294 and 2023333013303.

It is not a weakly prime, because it can be changed into another prime (2023333013929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011666506664 + 1011666506665.

It is an arithmetic number, because the mean of its divisors is an integer number (1011666506665).

Almost surely, 22023333013329 is an apocalyptic number.

It is an amenable number.

2023333013329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023333013329 is an equidigital number, since it uses as much as digits as its factorization.

2023333013329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52488, while the sum is 34.

The spelling of 2023333013329 in words is "two trillion, twenty-three billion, three hundred thirty-three million, thirteen thousand, three hundred twenty-nine".