Search a number
-
+
13000230331 = 1119732233821
BaseRepresentation
bin11000001101101111…
…11100010110111011
31020120000020010102021
430012313330112323
5203111024332311
65550000015311
7640105064104
oct140667742673
936500203367
1013000230331
115571322510
122629901537
1312c24527aa
148b47c93ab
1551149a171
hex306dfc5bb

13000230331 has 32 divisors (see below), whose sum is σ = 15204833280. Its totient is φ = 10990598400.

The previous prime is 13000230319. The next prime is 13000230367. The reversal of 13000230331 is 13303200031.

It is a cyclic number.

It is not a de Polignac number, because 13000230331 - 219 = 12999706043 is a prime.

It is a super-2 number, since 2×130002303312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13000230371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3400401 + ... + 3404221.

It is an arithmetic number, because the mean of its divisors is an integer number (475151040).

Almost surely, 213000230331 is an apocalyptic number.

13000230331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13000230331 is a deficient number, since it is larger than the sum of its proper divisors (2204602949).

13000230331 is a wasteful number, since it uses less digits than its factorization.

13000230331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13000230331 its reverse (13303200031), we get a palindrome (26303430362).

The spelling of 13000230331 in words is "thirteen billion, two hundred thirty thousand, three hundred thirty-one".

Divisors: 1 11 19 73 209 223 803 1387 2453 3821 4237 15257 16279 42031 46607 72599 179069 278933 309301 798589 852083 3068263 3402311 5299727 9372913 16189577 58296997 62202059 178085347 684222649 1181839121 13000230331