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130130320012 = 227113717963793
BaseRepresentation
bin111100100110001011…
…1110001101010001100
3110102220000011012001221
41321030113301222030
54113001330220022
6135440412213124
712254515320040
oct1711427615214
9412800135057
10130130320012
115020819a520
122127846a1a4
13c36aba2b74
146426910020
1535b9506cc7
hex1e4c5f1a8c

130130320012 has 96 divisors (see below), whose sum is σ = 293227845120. Its totient is φ = 49053496320.

The previous prime is 130130319997. The next prime is 130130320031. The reversal of 130130320012 is 210023031031.

It is an unprimeable number.

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, 2007988 + ... + 2071780.

It is an arithmetic number, because the mean of its divisors is an integer number (3054456720).

Almost surely, 2130130320012 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 130130320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146613922560).

130130320012 is an abundant number, since it is smaller than the sum of its proper divisors (163097525108).

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

130130320012 is a wasteful number, since it uses less digits than its factorization.

130130320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64031 (or 64029 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 130130320012 its reverse (210023031031), we get a palindrome (340153351043).

The spelling of 130130320012 in words is "one hundred thirty billion, one hundred thirty million, three hundred twenty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 179 259 308 358 407 518 716 814 1036 1253 1628 1969 2506 2849 3938 5012 5698 6623 7876 11396 13246 13783 26492 27566 46361 55132 63793 72853 92722 127586 145706 185444 255172 291412 446551 509971 701723 893102 1019942 1403446 1786204 2039884 2360341 2806892 4720682 4912061 9441364 9824122 11418947 16522387 19648244 22837894 25963751 33044774 45675788 51927502 66089548 79932629 103855004 125608417 159865258 181746257 251216834 319730516 363492514 422501039 502433668 726985028 845002078 879258919 1690004156 1758517838 2957507273 3517035676 4647511429 5915014546 9295022858 11830029092 18590045716 32532580003 65065160006 130130320012