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130331505344 = 26471012711583
BaseRepresentation
bin111100101100001011…
…1001111001011000000
3110110102000201110110112
41321120113033023000
54113404331132334
6135512400250452
712262510342145
oct1713027171300
9413360643415
10130331505344
1150300811a97
1221313910a28
13c3a0783841
1464455203cc
1535cbee74ce
hex1e585cf2c0

130331505344 has 112 divisors (see below), whose sum is σ = 267897839616. Its totient is φ = 62875008000.

The previous prime is 130331505299. The next prime is 130331505373. The reversal of 130331505344 is 443505133031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 130331505344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82331177 + ... + 82332759.

Almost surely, 2130331505344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130331505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133948919808).

130331505344 is an abundant number, since it is smaller than the sum of its proper divisors (137566334272).

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

130331505344 is a wasteful number, since it uses less digits than its factorization.

130331505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 130331505344 its reverse (443505133031), we get a palindrome (573836638375).

The spelling of 130331505344 in words is "one hundred thirty billion, three hundred thirty-one million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 101 188 202 271 376 404 542 752 808 1084 1504 1583 1616 2168 3008 3166 3232 4336 4747 6332 6464 8672 9494 12664 12737 17344 18988 25328 25474 27371 37976 50656 50948 54742 74401 75952 101312 101896 109484 148802 151904 159883 203792 218968 297604 303808 319766 407584 428993 437936 595208 639532 815168 857986 875872 1190416 1279064 1286437 1715972 1751744 2380832 2558128 2572874 3431944 4761664 5116256 5145748 6863888 7514501 10232512 10291496 13727776 15029002 20162671 20582992 27455552 30058004 40325342 41165984 43328293 60116008 80650684 82331968 86656586 120232016 161301368 173313172 240464032 322602736 346626344 480928064 645205472 693252688 1290410944 1386505376 2036429771 2773010752 4072859542 8145719084 16291438168 32582876336 65165752672 130331505344