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7000135133 is a prime number
BaseRepresentation
bin1101000010011110…
…11001010111011101
3200001211222201011012
412201033121113131
5103314013311013
63114341105005
7335320111145
oct64117312735
920054881135
107000135133
112a72437152
1214343b8165
138773525c4
144a5993925
152ae8441a8
hex1a13d95dd

7000135133 has 2 divisors, whose sum is σ = 7000135134. Its totient is φ = 7000135132.

The previous prime is 7000135127. The next prime is 7000135151. The reversal of 7000135133 is 3315310007.

It is a happy number.

7000135133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4585592089 + 2414543044 = 67717^2 + 49138^2 .

It is a cyclic number.

It is not a de Polignac number, because 7000135133 - 26 = 7000135069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7000135099 and 7000135108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7000135183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3500067566 + 3500067567.

It is an arithmetic number, because the mean of its divisors is an integer number (3500067567).

Almost surely, 27000135133 is an apocalyptic number.

It is an amenable number.

7000135133 is a deficient number, since it is larger than the sum of its proper divisors (1).

7000135133 is an equidigital number, since it uses as much as digits as its factorization.

7000135133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 7000135133 is about 83666.8102236484. The cubic root of 7000135133 is about 1912.9434922232.

The spelling of 7000135133 in words is "seven billion, one hundred thirty-five thousand, one hundred thirty-three".