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3011137133 is a prime number
BaseRepresentation
bin1011001101111010…
…0100111001101101
321202211222121121112
42303132210321231
522131322342013
61214443041405
7134422146314
oct26336447155
97684877545
103011137133
111305787994
12700510265
1338cab3864
14207ca527b
15129543ba8
hexb37a4e6d

3011137133 has 2 divisors, whose sum is σ = 3011137134. Its totient is φ = 3011137132.

The previous prime is 3011137117. The next prime is 3011137169. The reversal of 3011137133 is 3317311103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2986950409 + 24186724 = 54653^2 + 4918^2 .

It is an emirp because it is prime and its reverse (3317311103) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3011137133 - 24 = 3011137117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3011137099 and 3011137108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3011137033) 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, 1505568566 + 1505568567.

It is an arithmetic number, because the mean of its divisors is an integer number (1505568567).

Almost surely, 23011137133 is an apocalyptic number.

It is an amenable number.

3011137133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3011137133 is an equidigital number, since it uses as much as digits as its factorization.

3011137133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 3011137133 is about 54873.8292175788. The cubic root of 3011137133 is about 1444.0320913582.

Adding to 3011137133 its reverse (3317311103), we get a palindrome (6328448236).

The spelling of 3011137133 in words is "three billion, eleven million, one hundred thirty-seven thousand, one hundred thirty-three".