Search a number
-
+
12101313300 = 2235244989839
BaseRepresentation
bin10110100010100101…
…10110001100010100
31011020100202102001220
423101102312030110
5144240414011200
65320445050340
7605611315536
oct132122661424
934210672056
1012101313300
11514a96a87a
1224188569b0
1311ab14801b
1482b271856
154ac5d44a0
hex2d14b6314

12101313300 has 72 divisors (see below), whose sum is σ = 35091504000. Its totient is φ = 3219793920.

The previous prime is 12101313293. The next prime is 12101313319. The reversal of 12101313300 is 331310121.

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 12101313300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89781 + ... + 179619.

It is an arithmetic number, because the mean of its divisors is an integer number (487382000).

Almost surely, 212101313300 is an apocalyptic number.

12101313300 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 12101313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545752000).

12101313300 is an abundant number, since it is smaller than the sum of its proper divisors (22990190700).

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

12101313300 is a wasteful number, since it uses less digits than its factorization.

12101313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90305 (or 90298 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12101313300 its reverse (331310121), we get a palindrome (12432623421).

The spelling of 12101313300 in words is "twelve billion, one hundred one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 449 898 1347 1796 2245 2694 4490 5388 6735 8980 11225 13470 22450 26940 33675 44900 67350 89839 134700 179678 269517 359356 449195 539034 898390 1078068 1347585 1796780 2245975 2695170 4491950 5390340 6737925 8983900 13475850 26951700 40337711 80675422 121013133 161350844 201688555 242026266 403377110 484052532 605065665 806754220 1008442775 1210131330 2016885550 2420262660 3025328325 4033771100 6050656650 12101313300