Search a number
-
+
13220310000 = 24354440677
BaseRepresentation
bin11000100111111110…
…11110101111110000
31021010100100022222010
430103333132233300
5204033344410000
610023501042520
7645416531562
oct142377365760
937110308863
1013220310000
11567457a637
12268b556440
131328c1a551
148d5b17332
1552596dd50
hex313fdebf0

13220310000 has 100 divisors (see below), whose sum is σ = 42677020232. Its totient is φ = 3525408000.

The previous prime is 13220309987. The next prime is 13220310017. The reversal of 13220310000 is 1302231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×132203100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 190339 + ... + 250338.

Almost surely, 213220310000 is an apocalyptic number.

13220310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220310000 is an abundant number, since it is smaller than the sum of its proper divisors (29456710232).

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

13220310000 is an equidigital number, since it uses as much as digits as its factorization.

13220310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440708 (or 440687 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13220310000 its reverse (1302231), we get a palindrome (13221612231).

The spelling of 13220310000 in words is "thirteen billion, two hundred twenty million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 440677 881354 1322031 1762708 2203385 2644062 3525416 4406770 5288124 6610155 7050832 8813540 10576248 11016925 13220310 17627080 21152496 22033850 26440620 33050775 35254160 44067700 52881240 55084625 66101550 88135400 105762480 110169250 132203100 165253875 176270800 220338500 264406200 275423125 330507750 440677000 528812400 550846250 661015500 826269375 881354000 1101692500 1322031000 1652538750 2203385000 2644062000 3305077500 4406770000 6610155000 13220310000