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130314220113 = 371129372811871
BaseRepresentation
bin111100101011101010…
…1010011001001010001
3110110100211012021120210
41321113111103021101
54113340420020423
6135510541554333
712262210410660
oct1712725231121
9413324167523
10130314220113
11502a1a86380
1221309b759a9
13c39a010cac
146443100dd7
1535ca730b93
hex1e57553251

130314220113 has 128 divisors (see below), whose sum is σ = 231095255040. Its totient is φ = 63334656000.

The previous prime is 130314220079. The next prime is 130314220159. The reversal of 130314220113 is 311022413031.

It is not a de Polignac number, because 130314220113 - 28 = 130314219857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 130314220113.

It is not an unprimeable number, because it can be changed into a prime (130314220513) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 69648568 + ... + 69650438.

It is an arithmetic number, because the mean of its divisors is an integer number (1805431680).

Almost surely, 2130314220113 is an apocalyptic number.

It is an amenable number.

130314220113 is a deficient number, since it is larger than the sum of its proper divisors (100781034927).

130314220113 is a wasteful number, since it uses less digits than its factorization.

130314220113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 130314220113 its reverse (311022413031), we get a palindrome (441336633144).

The spelling of 130314220113 in words is "one hundred thirty billion, three hundred fourteen million, two hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 7 11 21 29 33 37 77 87 111 203 231 259 281 319 407 609 777 843 957 1073 1221 1871 1967 2233 2849 3091 3219 5613 5901 6699 7511 8149 8547 9273 10397 11803 13097 20581 21637 22533 24447 31191 35409 39291 54259 57043 61743 64911 69227 72779 82621 89639 114367 144067 162777 171129 207681 218337 247863 268917 301513 343101 379813 432201 484589 525751 596849 627473 761497 800569 904539 1139439 1453767 1577253 1790547 1882419 2007583 2110591 2284491 2401707 3316643 3680257 4177943 5330479 5783261 6022749 6331773 9949929 11040771 12533829 14053081 15246779 15991437 17349783 19452787 22083413 23216501 40482827 42159243 45740337 58358361 66250239 69649503 106727453 121448481 136169509 154583891 167714569 213980657 320182359 408508527 463751673 503143707 564130823 641941971 1174001983 1497864599 1692392469 3522005949 3948915761 4493593797 6205439053 11846747283 18616317159 43438073371 130314220113