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2023332323029 is a prime number
BaseRepresentation
bin11101011100011000000…
…000010001111011010101
321011102120111201200001021
4131130120000101323111
5231122241033314104
64145301145401141
7266116026656323
oct35343000217325
97142514650037
102023332323029
117100aa391486
12288175a991b1
13118a5142a784
146dd03566d13
1537971583754
hex1d718011ed5

2023332323029 has 2 divisors, whose sum is σ = 2023332323030. Its totient is φ = 2023332323028.

The previous prime is 2023332323011. The next prime is 2023332323057. The reversal of 2023332323029 is 9203232333202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1118412002500 + 904920320529 = 1057550^2 + 951273^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023332323029 - 213 = 2023332314837 is a prime.

It is a super-4 number, since 4×20233323230294 (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023332322985 and 2023332323003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2023332323069) 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, 1011666161514 + 1011666161515.

It is an arithmetic number, because the mean of its divisors is an integer number (1011666161515).

Almost surely, 22023332323029 is an apocalyptic number.

It is an amenable number.

2023332323029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023332323029 is an equidigital number, since it uses as much as digits as its factorization.

2023332323029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 34.

The spelling of 2023332323029 in words is "two trillion, twenty-three billion, three hundred thirty-two million, three hundred twenty-three thousand, twenty-nine".