Search a number
-
+
13812280753 is a prime number
BaseRepresentation
bin11001101110100011…
…01010110110110001
31022122121020120011211
430313101222312301
5211241420441003
610202325040121
7666165310045
oct146721526661
938577216154
1013812280753
115948743a67
122815856041
1313c17645bb
149505b0025
1555c90296d
hex33746adb1

13812280753 has 2 divisors, whose sum is σ = 13812280754. Its totient is φ = 13812280752.

The previous prime is 13812280721. The next prime is 13812280771. The reversal of 13812280753 is 35708221831.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8811952384 + 5000328369 = 93872^2 + 70713^2 .

It is a cyclic number.

It is not a de Polignac number, because 13812280753 - 25 = 13812280721 is a prime.

It is a super-3 number, since 3×138122807533 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13812280453) 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, 6906140376 + 6906140377.

It is an arithmetic number, because the mean of its divisors is an integer number (6906140377).

Almost surely, 213812280753 is an apocalyptic number.

It is an amenable number.

13812280753 is a deficient number, since it is larger than the sum of its proper divisors (1).

13812280753 is an equidigital number, since it uses as much as digits as its factorization.

13812280753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 13812280753 in words is "thirteen billion, eight hundred twelve million, two hundred eighty thousand, seven hundred fifty-three".