Search a number
-
+
131120304340410 = 232571118920678837
BaseRepresentation
bin11101110100000011010011…
…001010011011110110111010
3122012020222102110021102022100
4131310003103022123312322
5114141233340402343120
61142511500344004230
736422062242400650
oct3564032312336672
9565228373242270
10131120304340410
1138862899556740
1212857bb0760676
13582178cac5668
142454384130dd0
151025b17880490
hex7740d329bdba

131120304340410 has 96 divisors (see below), whose sum is σ = 425034129416832. Its totient is φ = 27245777523840.

The previous prime is 131120304340409. The next prime is 131120304340549. The reversal of 131120304340410 is 14043403021131.

131120304340410 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 0 + 304 + 340 + 4 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9460332489 + ... + 9460346348.

It is an arithmetic number, because the mean of its divisors is an integer number (4427438848092).

Almost surely, 2131120304340410 is an apocalyptic number.

131120304340410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131120304340410 is an abundant number, since it is smaller than the sum of its proper divisors (293913825076422).

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

131120304340410 is a wasteful number, since it uses less digits than its factorization.

131120304340410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18920678868 (or 18920678865 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131120304340410 its reverse (14043403021131), we get a palindrome (145163707361541).

The spelling of 131120304340410 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred four million, three hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 18920678837 37841357674 56762036511 94603394185 113524073022 132444751859 170286109533 189206788370 208127467207 264889503718 283810182555 340572219066 397334255577 416254934414 567620365110 624382401621 662223759295 794668511154 851430547665 1040637336035 1192002766731 1248764803242 1324447518590 1456892270449 1702861095330 1873147204863 1986671277885 2081274672070 2384005533462 2913784540898 3121912008105 3746294409726 3973342555770 4370676811347 5960013833655 6243824016210 7284461352245 8741353622694 9365736024315 11920027667310 13112030434041 14568922704490 18731472048630 21853384056735 26224060868082 43706768113470 65560152170205 131120304340410