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130021311030 = 235132127920051
BaseRepresentation
bin111100100010111011…
…1111100001000110110
3110102121102000221212020
41321011313330020312
54112240423423110
6135421515534010
712252022623432
oct1710567741066
9412542027766
10130021311030
1150161705456
1221247a5a306
13c351426900
1464162559c2
1535aeb72d70
hex1e45dfc236

130021311030 has 96 divisors (see below), whose sum is σ = 338182594560. Its totient is φ = 31978627200.

The previous prime is 130021311029. The next prime is 130021311037. The reversal of 130021311030 is 30113120031.

130021311030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130021311037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6474505 + ... + 6494555.

It is an arithmetic number, because the mean of its divisors is an integer number (3522735360).

Almost surely, 2130021311030 is an apocalyptic number.

130021311030 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 130021311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169091297280).

130021311030 is an abundant number, since it is smaller than the sum of its proper divisors (208161283530).

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

130021311030 is a wasteful number, since it uses less digits than its factorization.

130021311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21366 (or 21353 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130021311030 its reverse (30113120031), we get a palindrome (160134431061).

The spelling of 130021311030 in words is "one hundred thirty billion, twenty-one million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1279 1690 2535 2558 3837 5070 6395 7674 12790 16627 19185 20051 33254 38370 40102 49881 60153 83135 99762 100255 120306 166270 200510 216151 249405 260663 300765 432302 498810 521326 601530 648453 781989 1080755 1296906 1303315 1563978 2161510 2606630 3242265 3388619 3909945 6484530 6777238 7819890 10165857 16943095 20331714 25645229 33886190 50829285 51290458 76935687 101658570 128226145 153871374 256452290 333387977 384678435 666775954 769356870 1000163931 1666939885 2000327862 3333879770 4334043701 5000819655 8668087402 10001639310 13002131103 21670218505 26004262206 43340437010 65010655515 130021311030