Search a number
-
+
13121030313 = 323016148337
BaseRepresentation
bin11000011100001001…
…10000100010101001
31020212102112101211200
430032010300202221
5203332440432223
610005553114413
7643102626456
oct141604604251
936772471750
1013121030313
115623530306
122662258a09
131311499881
148c687282d
1551bdaca43
hex30e1308a9

13121030313 has 12 divisors (see below), whose sum is σ = 18953619828. Its totient is φ = 8746882560.

The previous prime is 13121030303. The next prime is 13121030327. The reversal of 13121030313 is 31303012131.

It is a happy number.

13121030313 is a `hidden beast` number, since 1 + 312 + 10 + 30 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10939486464 + 2181543849 = 104592^2 + 46707^2 .

It is not a de Polignac number, because 13121030313 - 24 = 13121030297 is a prime.

It is a super-2 number, since 2×131210303132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13121030303) 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 in 11 ways as a sum of consecutive naturals, for example, 247281 + ... + 295617.

It is an arithmetic number, because the mean of its divisors is an integer number (1579468319).

Almost surely, 213121030313 is an apocalyptic number.

It is an amenable number.

13121030313 is a deficient number, since it is larger than the sum of its proper divisors (5832589515).

13121030313 is a wasteful number, since it uses less digits than its factorization.

13121030313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78504 (or 78501 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13121030313 its reverse (31303012131), we get a palindrome (44424042444).

The spelling of 13121030313 in words is "thirteen billion, one hundred twenty-one million, thirty thousand, three hundred thirteen".

Divisors: 1 3 9 30161 48337 90483 145011 271449 435033 1457892257 4373676771 13121030313