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130011444332 = 227113379071381
BaseRepresentation
bin111100100010101001…
…0010011010001101100
3110102120201110200021222
41321011102103101230
54112230412204312
6135420524242512
712251543020520
oct1710522232154
9412521420258
10130011444332
1150157086460
12212446a0438
13c34c380923
146414c07d80
1535add74672
hex1e4549346c

130011444332 has 96 divisors (see below), whose sum is σ = 285022972416. Its totient is φ = 50411289600.

The previous prime is 130011444331. The next prime is 130011444361. The reversal of 130011444332 is 233444110031.

It is a happy number.

130011444332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130011444331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94142282 + ... + 94143662.

It is an arithmetic number, because the mean of its divisors is an integer number (2968989296).

Almost surely, 2130011444332 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 130011444332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142511486208).

130011444332 is an abundant number, since it is smaller than the sum of its proper divisors (155011528084).

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

130011444332 is a wasteful number, since it uses less digits than its factorization.

130011444332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 130011444332 its reverse (233444110031), we get a palindrome (363455554363).

The spelling of 130011444332 in words is "one hundred thirty billion, eleven million, four hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 337 674 907 1348 1381 1814 2359 2762 3628 3707 4718 5524 6349 7414 9436 9667 9977 12698 14828 15191 19334 19954 25396 25949 30382 38668 39908 51898 60764 69839 103796 106337 139678 212674 279356 305659 425348 465397 611318 930794 1222636 1252567 1861588 2139613 2505134 3257779 3362249 4279226 5010268 5119367 6515558 6724498 8558452 8767969 10238734 13031116 13448996 13778237 17535938 20477468 23535743 27556474 35071876 35835569 47071486 55112948 71671138 94142972 96447659 143342276 192895318 385790636 422115079 844230158 1688460316 2954805553 4643265869 5909611106 9286531738 11819222212 18573063476 32502861083 65005722166 130011444332