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2231332133033 is a prime number
BaseRepresentation
bin100000011110000101110…
…000100101100010101001
321220022110101001210211002
4200132011300211202221
5243024232011224113
64425020531244345
7320131330122503
oct40360560454251
97808411053732
102231332133033
11790336900303
123005447496b5
1313254bc24423
1479dd5ca2d73
153d096eb6c58
hex20785c258a9

2231332133033 has 2 divisors, whose sum is σ = 2231332133034. Its totient is φ = 2231332133032.

The previous prime is 2231332133029. The next prime is 2231332133089. The reversal of 2231332133033 is 3303312331322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2117528459929 + 113803673104 = 1455173^2 + 337348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231332133033 - 22 = 2231332133029 is a prime.

It is a super-3 number, since 3×22313321330333 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231332132987 and 2231332133005.

It is not a weakly prime, because it can be changed into another prime (2231332130033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115666066516 + 1115666066517.

It is an arithmetic number, because the mean of its divisors is an integer number (1115666066517).

Almost surely, 22231332133033 is an apocalyptic number.

It is an amenable number.

2231332133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231332133033 is an equidigital number, since it uses as much as digits as its factorization.

2231332133033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 2231332133033 its reverse (3303312331322), we get a palindrome (5534644464355).

The spelling of 2231332133033 in words is "two trillion, two hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, thirty-three".