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130131012 = 223117912479
BaseRepresentation
bin1111100000110…
…10010001000100
3100001212100012010
413300122101010
5231303143022
620525054220
73140044464
oct760322104
9301770163
10130131012
11675013a0
12376b7370
1320c632cb
14133d5ba4
15b65750c
hex7c1a444

130131012 has 48 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 38931360.

The previous prime is 130131011. The next prime is 130131017. The reversal of 130131012 is 210131031.

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 (130131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4189 + ... + 16667.

It is an arithmetic number, because the mean of its divisors is an integer number (6988800).

Almost surely, 2130131012 is an apocalyptic number.

130131012 is a gapful number since it is divisible by the number (12) 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 130131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

130131012 is an abundant number, since it is smaller than the sum of its proper divisors (205331388).

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

130131012 is a wasteful number, since it uses less digits than its factorization.

130131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576 (or 12574 counting only the distinct ones).

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

The square root of 130131012 is about 11407.4980604864. The cubic root of 130131012 is about 506.7498191857.

Adding to 130131012 its reverse (210131031), we get a palindrome (340262043).

The spelling of 130131012 in words is "one hundred thirty million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 12479 24958 37437 49916 74874 137269 149748 274538 411807 549076 823614 985841 1647228 1971682 2957523 3943364 5915046 10844251 11830092 21688502 32532753 43377004 65065506 130131012