Search a number
-
+
110131301300 = 22524156347711
BaseRepresentation
bin110011010010001010…
…1100100101110110100
3101112021020110202220012
41212210111210232310
53301022103120200
6122332115555352
710646104421036
oct1464425445664
9345236422805
10110131301300
1142785280789
12194168bbb58
13a50177ca97
14548a801c56
152ce88d1a35
hex19a4564bb4

110131301300 has 72 divisors (see below), whose sum is σ = 245253802752. Its totient is φ = 42900832000.

The previous prime is 110131301237. The next prime is 110131301303. The reversal of 110131301300 is 3103131011.

It is a happy number.

110131301300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110131301303) 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, 2284445 + ... + 2332155.

It is an arithmetic number, because the mean of its divisors is an integer number (3406302816).

Almost surely, 2110131301300 is an apocalyptic number.

110131301300 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 110131301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122626901376).

110131301300 is an abundant number, since it is smaller than the sum of its proper divisors (135122501452).

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

110131301300 is a wasteful number, since it uses less digits than its factorization.

110131301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48329 (or 48322 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 110131301300 its reverse (3103131011), we get a palindrome (113234432311).

The spelling of 110131301300 in words is "one hundred ten billion, one hundred thirty-one million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 563 820 1025 1126 2050 2252 2815 4100 5630 11260 14075 23083 28150 46166 47711 56300 92332 95422 115415 190844 230830 238555 461660 477110 577075 954220 1154150 1192775 1956151 2308300 2385550 3912302 4771100 7824604 9780755 19561510 26861293 39123020 48903775 53722586 97807550 107445172 134306465 195615100 268612930 537225860 671532325 1101313013 1343064650 2202626026 2686129300 4405252052 5506565065 11013130130 22026260260 27532825325 55065650650 110131301300