Search a number
-
+
13103133200 = 245297733529
BaseRepresentation
bin11000011010000000…
…11111001000010000
31020211011212010121122
430031000133020100
5203313400230300
610004113341412
7642464536343
oct141500371020
936734763548
1013103133200
115614416a03
122658267868
13130a871671
148c433445a
1551a524c85
hex30d01f210

13103133200 has 60 divisors (see below), whose sum is σ = 31513438740. Its totient is φ = 5235732480.

The previous prime is 13103133187. The next prime is 13103133221. The reversal of 13103133200 is 233130131.

It can be written as a sum of positive squares in 6 ways, for example, as 426174736 + 12676958464 = 20644^2 + 112592^2 .

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, 374036 + ... + 407564.

It is an arithmetic number, because the mean of its divisors is an integer number (525223979).

Almost surely, 213103133200 is an apocalyptic number.

13103133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103133200 is an abundant number, since it is smaller than the sum of its proper divisors (18410305540).

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

13103133200 is a wasteful number, since it uses less digits than its factorization.

13103133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34524 (or 34513 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13103133200 its reverse (233130131), we get a palindrome (13336263331).

The spelling of 13103133200 in words is "thirteen billion, one hundred three million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 977 1954 3908 4885 7816 9770 15632 19540 24425 33529 39080 48850 67058 78160 97700 134116 167645 195400 268232 335290 390800 536464 670580 838225 1341160 1676450 2682320 3352900 6705800 13411600 32757833 65515666 131031332 163789165 262062664 327578330 524125328 655156660 818945825 1310313320 1637891650 2620626640 3275783300 6551566600 13103133200