Search a number
-
+
1031121313 is a prime number
BaseRepresentation
bin111101011101011…
…010100110100001
32122212020101112021
4331131122212201
54102431340223
6250152301441
734360246405
oct7535324641
92585211467
101031121313
1148a04a782
122493a1881
13135815671
149ad2d105
15607cc65d
hex3d75a9a1

1031121313 has 2 divisors, whose sum is σ = 1031121314. Its totient is φ = 1031121312.

The previous prime is 1031121269. The next prime is 1031121359. The reversal of 1031121313 is 3131211301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 767123809 + 263997504 = 27697^2 + 16248^2 .

It is an emirp because it is prime and its reverse (3131211301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1031121313 is a prime.

It is a super-2 number, since 2×10311213132 = 2126422324245687938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1031121373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515560656 + 515560657.

It is an arithmetic number, because the mean of its divisors is an integer number (515560657).

Almost surely, 21031121313 is an apocalyptic number.

It is an amenable number.

1031121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031121313 is an equidigital number, since it uses as much as digits as its factorization.

1031121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1031121313 is about 32111.0777302787. The cubic root of 1031121313 is about 1010.2679787565.

Adding to 1031121313 its reverse (3131211301), we get a palindrome (4162332614).

The spelling of 1031121313 in words is "one billion, thirty-one million, one hundred twenty-one thousand, three hundred thirteen".