Search a number
-
+
12131231310 = 23251125979239
BaseRepresentation
bin10110100110001001…
…11110011001001110
31011022110001101212100
423103010332121032
5144321043400220
65323434215530
7606423523212
oct132304763116
934273041770
1012131231310
115165844700
1224268845a6
1311b43c18a3
1483121c942
154b0043d90
hex2d313e64e

12131231310 has 288 divisors, whose sum is σ = 35852544000. Its totient is φ = 2842519680.

The previous prime is 12131231293. The next prime is 12131231339. The reversal of 12131231310 is 1313213121.

12131231310 is a `hidden beast` number, since 12 + 1 + 312 + 31 + 310 = 666.

It is a super-2 number, since 2×121312313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50758171 + ... + 50758409.

It is an arithmetic number, because the mean of its divisors is an integer number (124488000).

Almost surely, 212131231310 is an apocalyptic number.

12131231310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131231310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272000).

12131231310 is an abundant number, since it is smaller than the sum of its proper divisors (23721312690).

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

12131231310 is a wasteful number, since it uses less digits than its factorization.

12131231310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12131231310 its reverse (1313213121), we get a palindrome (13444444431).

The spelling of 12131231310 in words is "twelve billion, one hundred thirty-one million, two hundred thirty-one thousand, three hundred ten".