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3135144217 is a prime number
BaseRepresentation
bin1011101011011110…
…1000000100011001
322002111022211100111
42322313220010121
522410044103332
61235033004321
7140456200102
oct27267500431
98074284314
103135144217
111369786287
12735b536a1
133ac6b162a
1421a5453a9
1513538b947
hexbade8119

3135144217 has 2 divisors, whose sum is σ = 3135144218. Its totient is φ = 3135144216.

The previous prime is 3135144197. The next prime is 3135144223. The reversal of 3135144217 is 7124415313.

3135144217 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., 2230578441 + 904565776 = 47229^2 + 30076^2 .

It is a cyclic number.

It is not a de Polignac number, because 3135144217 - 223 = 3126755609 is a prime.

It is a super-2 number, since 2×31351442172 = 19658258522777086178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3135144247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1567572108 + 1567572109.

It is an arithmetic number, because the mean of its divisors is an integer number (1567572109).

Almost surely, 23135144217 is an apocalyptic number.

It is an amenable number.

3135144217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3135144217 is an equidigital number, since it uses as much as digits as its factorization.

3135144217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 31.

The square root of 3135144217 is about 55992.3585590034. The cubic root of 3135144217 is about 1463.5891268442.

The spelling of 3135144217 in words is "three billion, one hundred thirty-five million, one hundred forty-four thousand, two hundred seventeen".