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2023035314801 is a prime number
BaseRepresentation
bin11101011100000110010…
…011010010001001110001
321011101210210212002100112
4131130012103102021301
5231121134020033201
64145211455431105
7266105462310164
oct35340623221161
97141723762315
102023035314801
1170aa67770836
122880b2525495
13118a04a39667
146dcb5d31adb
15379554660bb
hex1d7064d2271

2023035314801 has 2 divisors, whose sum is σ = 2023035314802. Its totient is φ = 2023035314800.

The previous prime is 2023035314771. The next prime is 2023035314819. The reversal of 2023035314801 is 1084135303202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1334175154225 + 688860160576 = 1155065^2 + 829976^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023035314801 - 26 = 2023035314737 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023035310801) 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, 1011517657400 + 1011517657401.

It is an arithmetic number, because the mean of its divisors is an integer number (1011517657401).

Almost surely, 22023035314801 is an apocalyptic number.

It is an amenable number.

2023035314801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023035314801 is an equidigital number, since it uses as much as digits as its factorization.

2023035314801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 2023035314801 in words is "two trillion, twenty-three billion, thirty-five million, three hundred fourteen thousand, eight hundred one".