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133002220033 is a prime number
BaseRepresentation
bin111101111011110001…
…1001101001000000001
3110201022011010211021101
41323313203031020001
54134342032020113
6141033403054401
712415630134304
oct1736743151001
9421264124241
10133002220033
1151451316511
122193a211401
13c707b856a7
14661a0ccb3b
1536d66e52dd
hex1ef78cd201

133002220033 has 2 divisors, whose sum is σ = 133002220034. Its totient is φ = 133002220032.

The previous prime is 133002220031. The next prime is 133002220049. The reversal of 133002220033 is 330022200331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78832915984 + 54169304049 = 280772^2 + 232743^2 .

It is a cyclic number.

It is not a de Polignac number, because 133002220033 - 21 = 133002220031 is a prime.

Together with 133002220031, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (133002220031) 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, 66501110016 + 66501110017.

It is an arithmetic number, because the mean of its divisors is an integer number (66501110017).

Almost surely, 2133002220033 is an apocalyptic number.

It is an amenable number.

133002220033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133002220033 is an equidigital number, since it uses as much as digits as its factorization.

133002220033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 133002220033 its reverse (330022200331), we get a palindrome (463024420364).

The spelling of 133002220033 in words is "one hundred thirty-three billion, two million, two hundred twenty thousand, thirty-three".