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2002301209133 is a prime number
BaseRepresentation
bin11101001000110010011…
…100111100101000101101
321002102021210222101102222
4131020302130330220231
5230301203102143013
64131502223525125
7264442614313421
oct35106234745055
97072253871388
102002301209133
11702197918315
122840867597a5
13116a7c240994
146ccaa354b81
153714003c508
hex1d23273ca2d

2002301209133 has 2 divisors, whose sum is σ = 2002301209134. Its totient is φ = 2002301209132.

The previous prime is 2002301209127. The next prime is 2002301209187. The reversal of 2002301209133 is 3319021032002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1247213203369 + 755088005764 = 1116787^2 + 868958^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002301209133 is a prime.

It is a super-2 number, since 2×20023012091332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002301289133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001150604566 + 1001150604567.

It is an arithmetic number, because the mean of its divisors is an integer number (1001150604567).

Almost surely, 22002301209133 is an apocalyptic number.

It is an amenable number.

2002301209133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002301209133 is an equidigital number, since it uses as much as digits as its factorization.

2002301209133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 2002301209133 in words is "two trillion, two billion, three hundred one million, two hundred nine thousand, one hundred thirty-three".