Search a number
-
+
30320114013 = 327268753093
BaseRepresentation
bin11100001111001110…
…000011100101011101
32220021001122101020200
4130033032003211131
5444043422122023
621532345134113
72122234500600
oct341716034535
986231571220
1030320114013
1111949a06472
125a6218a339
132b227b6187
141678b76337
15bc6cac743
hex70f38395d

30320114013 has 18 divisors (see below), whose sum is σ = 50946042654. Its totient is φ = 17325779184.

The previous prime is 30320113997. The next prime is 30320114029. The reversal of 30320114013 is 31041102303.

It is an interprime number because it is at equal distance from previous prime (30320113997) and next prime (30320114029).

It can be written as a sum of positive squares in only one way, i.e., 28351150884 + 1968963129 = 168378^2 + 44373^2 .

It is not a de Polignac number, because 30320114013 - 24 = 30320113997 is a prime.

It is a super-2 number, since 2×303201140132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320112013) 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 in 17 ways as a sum of consecutive naturals, for example, 34376106 + ... + 34376987.

It is an arithmetic number, because the mean of its divisors is an integer number (2830335703).

Almost surely, 230320114013 is an apocalyptic number.

It is an amenable number.

30320114013 is a deficient number, since it is larger than the sum of its proper divisors (20625928641).

30320114013 is a wasteful number, since it uses less digits than its factorization.

30320114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68753113 (or 68753103 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30320114013 its reverse (31041102303), we get a palindrome (61361216316).

The spelling of 30320114013 in words is "thirty billion, three hundred twenty million, one hundred fourteen thousand, thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 68753093 206259279 481271651 618777837 1443814953 3368901557 4331444859 10106704671 30320114013