Search a number
-
+
13220102304 = 253271646523
BaseRepresentation
bin11000100111111101…
…01100000010100000
31021010022221210001200
430103332230002200
5204033321233204
610023452401200
7645415005213
oct142376540240
937108853050
1013220102304
115674448592
12268b476200
131328b76b56
148d5aa177a
1552592c539
hex313fac0a0

13220102304 has 72 divisors (see below), whose sum is σ = 38124227232. Its totient is φ = 4344627840.

The previous prime is 13220102297. The next prime is 13220102317. The reversal of 13220102304 is 40320102231.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×132201023042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302814 + ... + 343709.

It is an arithmetic number, because the mean of its divisors is an integer number (529503156).

Almost surely, 213220102304 is an apocalyptic number.

It is an amenable number.

13220102304 is an abundant number, since it is smaller than the sum of its proper divisors (24904124928).

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

13220102304 is a wasteful number, since it uses less digits than its factorization.

13220102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646610 (or 646599 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13220102304 its reverse (40320102231), we get a palindrome (53540204535).

The spelling of 13220102304 in words is "thirteen billion, two hundred twenty million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 646523 1293046 1939569 2586092 3879138 5172184 5818707 7758276 10344368 11637414 15516552 20688736 23274828 31033104 45903133 46549656 62066208 91806266 93099312 137709399 183612532 186198624 275418798 367225064 413128197 550837596 734450128 826256394 1101675192 1468900256 1652512788 2203350384 3305025576 4406700768 6610051152 13220102304