Search a number
-
+
13330031130 = 232513104910861
BaseRepresentation
bin11000110101000100…
…00010001000011010
31021101222210202001200
430122202002020122
5204244441444010
610042420455030
7651221252343
oct143242021032
937358722050
1013330031130
115720500759
12270024a476
1313458859b0
149065190ca
155303e3cc0
hex31a88221a

13330031130 has 96 divisors (see below), whose sum is σ = 37363107600. Its totient is φ = 3277808640.

The previous prime is 13330031083. The next prime is 13330031137. The reversal of 13330031130 is 3113003331.

It can be written as a sum of positive squares in 8 ways, for example, as 5572473201 + 7757557929 = 74649^2 + 88077^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13330031137) 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, 1221900 + ... + 1232760.

Almost surely, 213330031130 is an apocalyptic number.

13330031130 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 13330031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681553800).

13330031130 is an abundant number, since it is smaller than the sum of its proper divisors (24033076470).

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

13330031130 is a wasteful number, since it uses less digits than its factorization.

13330031130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13330031130 its reverse (3113003331), we get a palindrome (16443034461).

The spelling of 13330031130 in words is "thirteen billion, three hundred thirty million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1049 1170 2098 3147 5245 6294 9441 10490 10861 13637 15735 18882 21722 27274 31470 32583 40911 47205 54305 65166 68185 81822 94410 97749 108610 122733 136370 141193 162915 195498 204555 245466 282386 325830 409110 423579 488745 613665 705965 847158 977490 1227330 1270737 1411930 2117895 2541474 4235790 6353685 11393189 12707370 22786378 34179567 56965945 68359134 102538701 113931890 148111457 170897835 205077402 296222914 341795670 444334371 512693505 740557285 888668742 1025387010 1333003113 1481114570 2221671855 2666006226 4443343710 6665015565 13330031130