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201130131320304 = 2431767254908221
BaseRepresentation
bin101101101110110101000010…
…000001111110110111110000
3222101010212000200002111021020
4231232311002001332313300
5202330304002104222204
61551433523505455440
760236113103121114
oct5556650201766760
9871125020074236
10201130131320304
11590a489a75124a
121a68444a041580
13882c64a6ba964
143794a70b5b744
15183bcc9e58bd9
hexb6ed4207edf0

201130131320304 has 120 divisors (see below), whose sum is σ = 558483825403728. Its totient is φ = 62157862103040.

The previous prime is 201130131320303. The next prime is 201130131320323. The reversal of 201130131320304 is 403023131031102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201130131320303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23791087 + ... + 31117134.

Almost surely, 2201130131320304 is an apocalyptic number.

201130131320304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201130131320304 is an abundant number, since it is smaller than the sum of its proper divisors (357353694083424).

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

201130131320304 is a wasteful number, since it uses less digits than its factorization.

201130131320304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54908383 (or 54908310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 201130131320304 its reverse (403023131031102), we get a palindrome (604153262351406).

The spelling of 201130131320304 in words is "two hundred one trillion, one hundred thirty billion, one hundred thirty-one million, three hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 201 204 268 272 402 408 536 804 816 1072 1139 1608 2278 3216 3417 4489 4556 6834 8978 9112 13467 13668 17956 18224 26934 27336 35912 53868 54672 71824 76313 107736 152626 215472 228939 305252 457878 610504 915756 1221008 1831512 3663024 54908221 109816442 164724663 219632884 329449326 439265768 658898652 878531536 933439757 1317797304 1866879514 2635594608 2800319271 3678850807 3733759028 5600638542 7357701614 7467518056 11036552421 11201277084 14715403228 14935036112 22073104842 22402554168 29430806456 44146209684 44805108336 58861612912 62540463719 88292419368 125080927438 176584838736 187621391157 246483004069 250161854876 375242782314 492966008138 500323709752 739449012207 750485564628 985932016276 1000647419504 1478898024414 1500971129256 1971864032552 2957796048828 3001942258512 3943728065104 4190211069173 5915592097656 8380422138346 11831184195312 12570633207519 16760844276692 25141266415038 33521688553384 50282532830076 67043377106768 100565065660152 201130131320304