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101986133 is a prime number
BaseRepresentation
bin1100001010000…
…10111101010101
321002220102200012
412011002331111
5202102024013
614041530005
72345603444
oct605027525
9232812605
10101986133
1152628767
122a1a3905
131818a832
14d78ad5b
158e481a8
hex6142f55

101986133 has 2 divisors, whose sum is σ = 101986134. Its totient is φ = 101986132.

The previous prime is 101986123. The next prime is 101986189. The reversal of 101986133 is 331689101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96864964 + 5121169 = 9842^2 + 2263^2 .

It is an emirp because it is prime and its reverse (331689101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101986133 - 212 = 101982037 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101986133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101986123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50993066 + 50993067.

It is an arithmetic number, because the mean of its divisors is an integer number (50993067).

Almost surely, 2101986133 is an apocalyptic number.

It is an amenable number.

101986133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101986133 is an equidigital number, since it uses as much as digits as its factorization.

101986133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 101986133 is about 10098.8183962283. The cubic root of 101986133 is about 467.2116982869.

The spelling of 101986133 in words is "one hundred one million, nine hundred eighty-six thousand, one hundred thirty-three".