Search a number
-
+
13103112321 = 321331722293
BaseRepresentation
bin11000011010000000…
…11010000010000001
31020211011211001222100
430031000122002001
5203313344043241
610004113101013
7642464421435
oct141500320201
936734731870
1013103112321
115614402252
122658257769
13130a865000
148c432a9c5
1551a51d9b6
hex30d01a081

13103112321 has 72 divisors (see below), whose sum is σ = 21789742520. Its totient is φ = 7585823232.

The previous prime is 13103112313. The next prime is 13103112353. The reversal of 13103112321 is 12321130131.

13103112321 is a `hidden beast` number, since 1 + 31 + 0 + 311 + 2 + 321 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11240240400 + 1862871921 = 106020^2 + 43161^2 .

It is not a de Polignac number, because 13103112321 - 23 = 13103112313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13103112294 and 13103112303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103112301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5713251 + ... + 5715543.

Almost surely, 213103112321 is an apocalyptic number.

It is an amenable number.

13103112321 is a deficient number, since it is larger than the sum of its proper divisors (8686630199).

13103112321 is a wasteful number, since it uses less digits than its factorization.

13103112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13103112321 its reverse (12321130131), we get a palindrome (25424242452).

The spelling of 13103112321 in words is "thirteen billion, one hundred three million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 289 507 663 867 1521 1989 2197 2293 2601 2873 3757 6591 6879 8619 11271 19773 20637 25857 29809 33813 37349 38981 48841 89427 112047 116943 146523 268281 336141 350829 387517 439569 506753 634933 662677 1162551 1520259 1904799 1988031 3487653 4560777 5037721 5714397 5964093 6587789 8614801 15113163 19763367 25844403 45339489 59290101 77533209 85641257 111992413 256923771 335977239 770771313 1007931717 1455901369 4367704107 13103112321