Search a number
-
+
11312121017 is a prime number
BaseRepresentation
bin10101000100100000…
…10100010010111001
31002012100202021210002
422202100110102321
5141131400333032
65110254002345
7550216304441
oct124220242271
932170667702
1011312121017
114885440a4a
1222384a63b5
1310b37aa542
1479451b121
15463194862
hex2a24144b9

11312121017 has 2 divisors, whose sum is σ = 11312121018. Its totient is φ = 11312121016.

The previous prime is 11312120993. The next prime is 11312121047. The reversal of 11312121017 is 71012121311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10858473616 + 453647401 = 104204^2 + 21299^2 .

It is a cyclic number.

It is not a de Polignac number, because 11312121017 - 222 = 11307926713 is a prime.

It is a super-2 number, since 2×113121210172 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11312121017.

It is not a weakly prime, because it can be changed into another prime (11312121047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656060508 + 5656060509.

It is an arithmetic number, because the mean of its divisors is an integer number (5656060509).

Almost surely, 211312121017 is an apocalyptic number.

It is an amenable number.

11312121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11312121017 is an equidigital number, since it uses as much as digits as its factorization.

11312121017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 11312121017 its reverse (71012121311), we get a palindrome (82324242328).

The spelling of 11312121017 in words is "eleven billion, three hundred twelve million, one hundred twenty-one thousand, seventeen".