Search a number
-
+
13130032200 = 2335243350539
BaseRepresentation
bin11000011101001110…
…00110010001001000
31020220001110202002220
430032213012101020
5203342242012300
610010514054040
7643242301155
oct141647062110
936801422086
1013130032200
11562861958a
12266527a320
1313132cc02c
148c7b3722c
1551ca89da0
hex30e9c6448

13130032200 has 96 divisors (see below), whose sum is σ = 40797909600. Its totient is φ = 3493186560.

The previous prime is 13130032193. The next prime is 13130032207. The reversal of 13130032200 is 223003131.

It is an interprime number because it is at equal distance from previous prime (13130032193) and next prime (13130032207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13130032200.

It is not an unprimeable number, because it can be changed into a prime (13130032207) 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, 234531 + ... + 285069.

It is an arithmetic number, because the mean of its divisors is an integer number (424978225).

Almost surely, 213130032200 is an apocalyptic number.

13130032200 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 13130032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398954800).

13130032200 is an abundant number, since it is smaller than the sum of its proper divisors (27667877400).

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

13130032200 is a wasteful number, since it uses less digits than its factorization.

13130032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50991 (or 50982 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13130032200 its reverse (223003131), we get a palindrome (13353035331).

The spelling of 13130032200 in words is "thirteen billion, one hundred thirty million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 433 600 866 1299 1732 2165 2598 3464 4330 5196 6495 8660 10392 10825 12990 17320 21650 25980 32475 43300 50539 51960 64950 86600 101078 129900 151617 202156 252695 259800 303234 404312 505390 606468 758085 1010780 1212936 1263475 1516170 2021560 2526950 3032340 3790425 5053900 6064680 7580850 10107800 15161700 21883387 30323400 43766774 65650161 87533548 109416935 131300322 175067096 218833870 262600644 328250805 437667740 525201288 547084675 656501610 875335480 1094169350 1313003220 1641254025 2188338700 2626006440 3282508050 4376677400 6565016100 13130032200