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131243322111304 = 231317194659183857
BaseRepresentation
bin11101110101110101110111…
…100101111111010101001000
3122012200201221202220200020011
4131311311313211333111020
5114200242310430030204
61143044203321441304
736434005604242144
oct3565656745772510
9565621852820204
10131243322111304
11388aaa86909797
1212877a03040234
135830266276b80
14245a2d4188224
151028e1773a304
hex775d7797f548

131243322111304 has 128 divisors (see below), whose sum is σ = 295377662361600. Its totient is φ = 54008308776960.

The previous prime is 131243322111283. The next prime is 131243322111329. The reversal of 131243322111304 is 403111223342131.

It is a super-2 number, since 2×1312433221113042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565042944 + ... + 1565126800.

It is an arithmetic number, because the mean of its divisors is an integer number (2307637987200).

Almost surely, 2131243322111304 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 131243322111304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147688831180800).

131243322111304 is an abundant number, since it is smaller than the sum of its proper divisors (164134340250296).

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

131243322111304 is a wasteful number, since it uses less digits than its factorization.

131243322111304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130503 (or 130499 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 131243322111304 its reverse (403111223342131), we get a palindrome (534354545453435).

The spelling of 131243322111304 in words is "one hundred thirty-one trillion, two hundred forty-three billion, three hundred twenty-two million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1292 1768 1976 2584 4199 8398 16796 33592 46591 83857 93182 167714 186364 335428 372728 605683 670856 792047 885229 1090141 1211366 1425569 1584094 1593283 1770458 2180282 2422732 2851138 3168188 3186566 3540916 4360564 4845464 5702276 6336376 6373132 7081832 8721128 10296611 11404552 11507977 12746264 15048893 18532397 20593222 20712679 23015954 27085811 30097786 37064794 41186444 41425358 46031908 54171622 60195572 74129588 82372888 82850716 92063816 108343244 120391144 148259176 165701432 195635609 216686488 352115543 391271218 704231086 782542436 1408462172 1565084872 2816924344 3906981487 7813962974 15627925948 31255851896 50790759331 66418685279 74232648253 101581518662 132837370558 148465296506 203163037324 265674741116 296930593012 406326074648 531349482232 593861186024 863442908627 965024427289 1261955020301 1726885817254 1930048854578 2523910040602 3453771634508 3860097709156 5047820081204 6907543269016 7720195418312 10095640162408 16405415263913 32810830527826 65621661055652 131243322111304