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106490397133 is a prime number
BaseRepresentation
bin110001100101101010…
…0101000000111001101
3101011212111110200022201
41203023110220013031
53221043020202013
6120530534441501
710456634304061
oct1431324500715
9334774420281
10106490397133
114118706457a
121877b503291
13a07137a713
145223045aa1
152b83e403dd
hex18cb5281cd

106490397133 has 2 divisors, whose sum is σ = 106490397134. Its totient is φ = 106490397132.

The previous prime is 106490397127. The next prime is 106490397161. The reversal of 106490397133 is 331793094601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66315005289 + 40175391844 = 257517^2 + 200438^2 .

It is a cyclic number.

It is not a de Polignac number, because 106490397133 - 217 = 106490266061 is a prime.

It is a super-2 number, since 2×1064903971332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106490397103) 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, 53245198566 + 53245198567.

It is an arithmetic number, because the mean of its divisors is an integer number (53245198567).

Almost surely, 2106490397133 is an apocalyptic number.

It is an amenable number.

106490397133 is a deficient number, since it is larger than the sum of its proper divisors (1).

106490397133 is an equidigital number, since it uses as much as digits as its factorization.

106490397133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 46.

The spelling of 106490397133 in words is "one hundred six billion, four hundred ninety million, three hundred ninety-seven thousand, one hundred thirty-three".