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131310211540 = 22542122037079
BaseRepresentation
bin111101001001010110…
…0101101000111010100
3110112221020022212222011
41322102230231013110
54122410403232130
6140153441314004
712325663245034
oct1722254550724
9415836285864
10131310211540
1150763211492
1221547635904
13c4c8476731
1464d94c78c4
153637dbe52a
hex1e92b2d1d4

131310211540 has 48 divisors (see below), whose sum is σ = 276570967680. Its totient is φ = 52368140160.

The previous prime is 131310211517. The next prime is 131310211553. The reversal of 131310211540 is 45112013131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18545721 + ... + 18552799.

It is an arithmetic number, because the mean of its divisors is an integer number (5761895160).

Almost surely, 2131310211540 is an apocalyptic number.

131310211540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131310211540 is an abundant number, since it is smaller than the sum of its proper divisors (145260756140).

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

131310211540 is a wasteful number, since it uses less digits than its factorization.

131310211540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9712 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 131310211540 its reverse (45112013131), we get a palindrome (176422224671).

The spelling of 131310211540 in words is "one hundred thirty-one billion, three hundred ten million, two hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 2203 4210 4406 7079 8420 8812 11015 14158 22030 28316 35395 44060 70790 141580 927463 1854926 2980259 3709852 4637315 5960518 9274630 11921036 14901295 15595037 18549260 29802590 31190074 59605180 62380148 77975185 155950370 311900740 6565510577 13131021154 26262042308 32827552885 65655105770 131310211540