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2201000002133 is a prime number
BaseRepresentation
bin100000000001110101110…
…100101100001001010101
321210102011110210220111112
4200001311310230021111
5242030122000032013
64403043032344405
7315005555222132
oct40016564541125
97712143726445
102201000002133
11779491137429
122b669a545105
1312c726ac168a
14787596bd589
153c3be133ba8
hex20075d2c255

2201000002133 has 2 divisors, whose sum is σ = 2201000002134. Its totient is φ = 2201000002132.

The previous prime is 2201000002073. The next prime is 2201000002183. The reversal of 2201000002133 is 3312000001022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1876398613489 + 324601388644 = 1369817^2 + 569738^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201000002133 - 28 = 2201000001877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201000002183) 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, 1100500001066 + 1100500001067.

It is an arithmetic number, because the mean of its divisors is an integer number (1100500001067).

Almost surely, 22201000002133 is an apocalyptic number.

It is an amenable number.

2201000002133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201000002133 is an equidigital number, since it uses as much as digits as its factorization.

2201000002133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2201000002133 its reverse (3312000001022), we get a palindrome (5513000003155).

The spelling of 2201000002133 in words is "two trillion, two hundred one billion, two thousand, one hundred thirty-three".