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130131340332 = 22373164777239
BaseRepresentation
bin111100100110001101…
…1101010110000101100
3110102220002002000200120
41321030123222300230
54113002110342312
6135440450124540
712254530066530
oct1711433526054
9412802060616
10130131340332
1150208827064
1221278880750
13c36b16c3c6
146426ad7bc0
1535b965928c
hex1e4c6eac2c

130131340332 has 96 divisors (see below), whose sum is σ = 358769295360. Its totient is φ = 35924938560.

The previous prime is 130131340307. The next prime is 130131340333. The reversal of 130131340332 is 233043131031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130131340333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1646169 + ... + 1723407.

It is an arithmetic number, because the mean of its divisors is an integer number (3737180160).

Almost surely, 2130131340332 is an apocalyptic number.

130131340332 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 130131340332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179384647680).

130131340332 is an abundant number, since it is smaller than the sum of its proper divisors (228637955028).

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

130131340332 is a wasteful number, since it uses less digits than its factorization.

130131340332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77931 (or 77929 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130131340332 its reverse (233043131031), we get a palindrome (363174471363).

The spelling of 130131340332 in words is "one hundred thirty billion, one hundred thirty-one million, three hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 647 651 868 1294 1302 1941 2588 2604 3882 4529 7764 9058 13587 18116 20057 27174 40114 54348 60171 77239 80228 120342 140399 154478 231717 240684 280798 308956 421197 463434 540673 561596 842394 926868 1081346 1622019 1684788 2162692 2394409 3244038 4788818 6488076 7183227 9577636 14366454 16760863 28732908 33521726 49973633 50282589 67043452 99947266 100565178 149920899 199894532 201130356 299841798 349815431 599683596 699630862 1049446293 1399261724 1549182623 2098892586 3098365246 4197785172 4647547869 6196730492 9295095738 10844278361 18590191476 21688556722 32532835083 43377113444 65065670166 130131340332