Search a number
-
+
12131130000 = 243541136761
BaseRepresentation
bin10110100110001001…
…00101101010010000
31011022102212020220010
423103010211222100
5144321032130000
65323432114520
7606422621643
oct132304455220
934272766803
1012131130000
115165785580
122426835a40
1311b4387742
148311d3a5a
154b0023d50
hex2d3125a90

12131130000 has 200 divisors, whose sum is σ = 42722149536. Its totient is φ = 2940800000.

The previous prime is 12131129981. The next prime is 12131130001. The reversal of 12131130000 is 3113121.

It is a tau number, because it is divible by the number of its divisors (200).

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 (12131130001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311620 + ... + 348380.

Almost surely, 212131130000 is an apocalyptic number.

12131130000 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 12131130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21361074768).

12131130000 is an abundant number, since it is smaller than the sum of its proper divisors (30591019536).

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

12131130000 is a wasteful number, since it uses less digits than its factorization.

12131130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36803 (or 36782 counting only the distinct ones).

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

Adding to 12131130000 its reverse (3113121), we get a palindrome (12134243121).

The spelling of 12131130000 in words is "twelve billion, one hundred thirty-one million, one hundred thirty thousand".