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3370820813 is a prime number
BaseRepresentation
bin1100100011101010…
…1010010011001101
322200220210102212022
43020322222103031
523400412231223
61314252215525
7146350334633
oct31072522315
98626712768
103370820813
11147a816628
127a0a6a5a5
1341947a639
1423d973353
1514ade1ac8
hexc8eaa4cd

3370820813 has 2 divisors, whose sum is σ = 3370820814. Its totient is φ = 3370820812.

The previous prime is 3370820773. The next prime is 3370820839. The reversal of 3370820813 is 3180280733.

3370820813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2907150724 + 463670089 = 53918^2 + 21533^2 .

It is a cyclic number.

It is not a de Polignac number, because 3370820813 - 212 = 3370816717 is a prime.

It is a super-3 number, since 3×33708208133 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3370820413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1685410406 + 1685410407.

It is an arithmetic number, because the mean of its divisors is an integer number (1685410407).

Almost surely, 23370820813 is an apocalyptic number.

It is an amenable number.

3370820813 is a deficient number, since it is larger than the sum of its proper divisors (1).

3370820813 is an equidigital number, since it uses as much as digits as its factorization.

3370820813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 3370820813 is about 58058.7703366167. The cubic root of 3370820813 is about 1499.3806054540.

The spelling of 3370820813 in words is "three billion, three hundred seventy million, eight hundred twenty thousand, eight hundred thirteen".