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131118404316130 = 25721134337085999
BaseRepresentation
bin11101110100000001100001…
…111010011010101111100010
3122012020210112001001011222201
4131310001201322122233202
5114141220443001104010
61142510544031523414
736421664201430400
oct3564014172325742
9565223461034881
10131118404316130
1138862003a94340
121285776038956a
135821549283a3a
142454243a5c470
151025a55b6a23a
hex774061e9abe2

131118404316130 has 96 divisors (see below), whose sum is σ = 299591885088000. Its totient is φ = 40856163828480.

The previous prime is 131118404316103. The next prime is 131118404316131. The reversal of 131118404316130 is 31613404811131.

131118404316130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131118404316130.

It is not an unprimeable number, because it can be changed into a prime (131118404316131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14960871 + ... + 22046869.

It is an arithmetic number, because the mean of its divisors is an integer number (3120748803000).

Almost surely, 2131118404316130 is an apocalyptic number.

131118404316130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131118404316130 is an abundant number, since it is smaller than the sum of its proper divisors (168473480771870).

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

131118404316130 is a wasteful number, since it uses less digits than its factorization.

131118404316130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089464 (or 7089457 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 131118404316130 in words is "one hundred thirty-one trillion, one hundred eighteen billion, four hundred four million, three hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 2695 3433 5390 6866 17165 24031 34330 37763 48062 75526 120155 168217 188815 240310 264341 336434 377630 528682 841085 1321705 1682170 1850387 2643410 3700774 7085999 9251935 14171998 18503870 35429995 49601993 70859990 77945989 99203986 155891978 248009965 347213951 389729945 496019930 545621923 694427902 779459890 1091243846 1736069755 2728109615 3472139510 3819353461 5456219230 7638706922 19096767305 24326234567 38193534610 48652469134 121631172835 170283641969 243262345670 267588580237 340567283938 535177160474 851418209845 1191985493783 1337942901185 1702836419690 1873120061659 2383970987566 2675885802370 3746240123318 5959927468915 9365600308295 11919854937830 13111840431613 18731200616590 26223680863226 65559202158065 131118404316130