Search a number
-
+
12130011300 = 2235211103127281
BaseRepresentation
bin10110100110000000…
…10100100010100100
31011022100202102022210
423103000110202210
5144320240330200
65323352123420
7606410252301
oct132300244244
934270672283
1012130011300
115165091030
122426396570
1311b40854a4
14830dc20a8
154aeda2650
hex2d30148a4

12130011300 has 288 divisors, whose sum is σ = 39101497344. Its totient is φ = 2878848000.

The previous prime is 12130011269. The next prime is 12130011307. The reversal of 12130011300 is 311003121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12130011307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43167160 + ... + 43167440.

It is an arithmetic number, because the mean of its divisors is an integer number (135769088).

Almost surely, 212130011300 is an apocalyptic number.

12130011300 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 12130011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19550748672).

12130011300 is an abundant number, since it is smaller than the sum of its proper divisors (26971486044).

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

12130011300 is a wasteful number, since it uses less digits than its factorization.

12130011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12130011300 its reverse (311003121), we get a palindrome (12441014421).

The spelling of 12130011300 in words is "twelve billion, one hundred thirty million, eleven thousand, three hundred".