Search a number
-
+
3311131309 is a prime number
BaseRepresentation
bin1100010101011011…
…1101101010101101
322112202110220020221
43011112331222231
523240122200214
61304321011341
7145024103023
oct30526755255
98482426227
103311131309
11144a057a62
12784a83b51
13409cabac5
14235a76713
15145a50e24
hexc55bdaad

3311131309 has 2 divisors, whose sum is σ = 3311131310. Its totient is φ = 3311131308.

The previous prime is 3311131249. The next prime is 3311131321. The reversal of 3311131309 is 9031311133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1842555625 + 1468575684 = 42925^2 + 38322^2 .

It is a cyclic number.

It is not a de Polignac number, because 3311131309 - 225 = 3277576877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3311131609) 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, 1655565654 + 1655565655.

It is an arithmetic number, because the mean of its divisors is an integer number (1655565655).

Almost surely, 23311131309 is an apocalyptic number.

It is an amenable number.

3311131309 is a deficient number, since it is larger than the sum of its proper divisors (1).

3311131309 is an equidigital number, since it uses as much as digits as its factorization.

3311131309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 3311131309 is about 57542.4305100158. The cubic root of 3311131309 is about 1490.4776495150.

The spelling of 3311131309 in words is "three billion, three hundred eleven million, one hundred thirty-one thousand, three hundred nine".