Search a number
-
+
13112312200 = 23521319332609
BaseRepresentation
bin11000011011000111…
…00000000110001000
31020211211010110211121
430031203200012020
5203323222442300
610005042205024
7642635546311
oct141543400610
936754113747
1013112312200
115619616259
12265b353774
13130c736620
148c5643608
1551b23981a
hex30d8e0188

13112312200 has 96 divisors (see below), whose sum is σ = 32860787400. Its totient is φ = 4837109760.

The previous prime is 13112312197. The next prime is 13112312207. The reversal of 13112312200 is 221321131.

It can be written as a sum of positive squares in 12 ways, for example, as 249576804 + 12862735396 = 15798^2 + 113414^2 .

It is not an unprimeable number, because it can be changed into a prime (13112312207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5024496 + ... + 5027104.

Almost surely, 213112312200 is an apocalyptic number.

13112312200 is a gapful number since it is divisible by the number (10) 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 13112312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430393700).

13112312200 is an abundant number, since it is smaller than the sum of its proper divisors (19748475200).

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

13112312200 is a wasteful number, since it uses less digits than its factorization.

13112312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13112312200 its reverse (221321131), we get a palindrome (13333633331).

The spelling of 13112312200 in words is "thirteen billion, one hundred twelve million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1933 2600 2609 3866 5218 7732 9665 10436 13045 15464 19330 20872 25129 26090 33917 38660 48325 50258 52180 65225 67834 77320 96650 100516 104360 125645 130450 135668 169585 193300 201032 251290 260900 271336 339170 386600 502580 521800 628225 678340 847925 1005160 1256450 1356680 1695850 2512900 3391700 5025800 5043197 6783400 10086394 20172788 25215985 40345576 50431970 65561561 100863940 126079925 131123122 201727880 252159850 262246244 327807805 504319700 524492488 655615610 1008639400 1311231220 1639039025 2622462440 3278078050 6556156100 13112312200