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210006133 is a prime number
BaseRepresentation
bin11001000010001…
…11000001110101
3112122011102020221
430201013001311
5412230144013
632501054341
75130010531
oct1441070165
9478142227
10210006133
11a85a7797
125a3b73b1
133467b8ac
141dc68bc1
151368408d
hexc847075

210006133 has 2 divisors, whose sum is σ = 210006134. Its totient is φ = 210006132.

The previous prime is 210006131. The next prime is 210006149. The reversal of 210006133 is 331600012.

It is an a-pointer prime, because the next prime (210006149) can be obtained adding 210006133 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168558289 + 41447844 = 12983^2 + 6438^2 .

It is a cyclic number.

It is not a de Polignac number, because 210006133 - 21 = 210006131 is a prime.

It is a super-2 number, since 2×2100061332 = 88205151795227378, which contains 22 as substring.

Together with 210006131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210006131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105003066 + 105003067.

It is an arithmetic number, because the mean of its divisors is an integer number (105003067).

Almost surely, 2210006133 is an apocalyptic number.

It is an amenable number.

210006133 is a deficient number, since it is larger than the sum of its proper divisors (1).

210006133 is an equidigital number, since it uses as much as digits as its factorization.

210006133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 210006133 is about 14491.5883532482. The cubic root of 210006133 is about 594.3979815808.

Adding to 210006133 its reverse (331600012), we get a palindrome (541606145).

The spelling of 210006133 in words is "two hundred ten million, six thousand, one hundred thirty-three".