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2002232031649 is a prime number
BaseRepresentation
bin11101001000101110010…
…101000011100110100001
321002102002222210210202221
4131020232111003212201
5230301032400003044
64131451313111041
7264441114313663
oct35105625034641
97072088723687
102002232031649
11702161869243
12284067558481
13116a6aacc665
146cca10a8533
1537138e25484
hex1d22e5439a1

2002232031649 has 2 divisors, whose sum is σ = 2002232031650. Its totient is φ = 2002232031648.

The previous prime is 2002232031647. The next prime is 2002232031659. The reversal of 2002232031649 is 9461302322002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1625166032400 + 377065999249 = 1274820^2 + 614057^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002232031649 - 21 = 2002232031647 is a prime.

It is a super-2 number, since 2×20022320316492 (a number of 25 digits) contains 22 as substring.

Together with 2002232031647, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2002232031647) 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, 1001116015824 + 1001116015825.

It is an arithmetic number, because the mean of its divisors is an integer number (1001116015825).

Almost surely, 22002232031649 is an apocalyptic number.

It is an amenable number.

2002232031649 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002232031649 is an equidigital number, since it uses as much as digits as its factorization.

2002232031649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 2002232031649 in words is "two trillion, two billion, two hundred thirty-two million, thirty-one thousand, six hundred forty-nine".