Search a number
-
+
12100130000 = 24547172859
BaseRepresentation
bin10110100010011100…
…10101010011010000
31011020021112021212222
423101032111103100
5144240113130000
65320403440212
7605565256640
oct132116252320
934207467788
1012100130000
11514a231842
122418386068
1311aab2254a
1482b044520
154ac44da85
hex2d13954d0

12100130000 has 100 divisors (see below), whose sum is σ = 33480907680. Its totient is φ = 4148592000.

The previous prime is 12100129999. The next prime is 12100130023. The reversal of 12100130000 is 3100121.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12100130000.

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, 16430 + ... + 156429.

Almost surely, 212100130000 is an apocalyptic number.

12100130000 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 12100130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740453840).

12100130000 is an abundant number, since it is smaller than the sum of its proper divisors (21380777680).

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

12100130000 is an equidigital number, since it uses as much as digits as its factorization.

12100130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172894 (or 172873 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 12100130000 its reverse (3100121), we get a palindrome (12103230121).

The spelling of 12100130000 in words is "twelve billion, one hundred million, one hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 172859 345718 691436 864295 1210013 1382872 1728590 2420026 2765744 3457180 4321475 4840052 6050065 6914360 8642950 9680104 12100130 13828720 17285900 19360208 21607375 24200260 30250325 34571800 43214750 48400520 60500650 69143600 86429500 96801040 108036875 121001300 151251625 172859000 216073750 242002600 302503250 345718000 432147500 484005200 605006500 756258125 864295000 1210013000 1512516250 1728590000 2420026000 3025032500 6050065000 12100130000