Search a number
-
+
13103503364 = 22721673131279
BaseRepresentation
bin11000011010000011…
…11001100000000100
31020211012112221101102
430031001321200010
5203313444101424
610004125315232
7642500640500
oct141501714004
936735487342
1013103503364
11561464a026
122658405b18
13130a970cb3
148c43cd300
1551a5997ae
hex30d079804

13103503364 has 72 divisors (see below), whose sum is σ = 26941501440. Its totient is φ = 5559974784.

The previous prime is 13103503339. The next prime is 13103503373. The reversal of 13103503364 is 46330530131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10244477 + ... + 10245755.

It is an arithmetic number, because the mean of its divisors is an integer number (374187520).

Almost surely, 213103503364 is an apocalyptic number.

13103503364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103503364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470750720).

13103503364 is an abundant number, since it is smaller than the sum of its proper divisors (13837998076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13103503364 is a wasteful number, since it uses less digits than its factorization.

13103503364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The spelling of 13103503364 in words is "thirteen billion, one hundred three million, five hundred three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 167 196 313 334 626 668 1169 1252 1279 2191 2338 2558 4382 4676 5116 8183 8764 8953 15337 16366 17906 30674 32732 35812 52271 61348 62671 104542 125342 209084 213593 250684 365897 400327 427186 731794 800654 854372 1463588 1495151 1601308 2561279 2802289 2990302 5122558 5604578 5980604 10245116 10466057 11209156 19616023 20932114 39232046 41864228 66854609 78464092 133709218 267418436 467982263 935964526 1871929052 3275875841 6551751682 13103503364