Search a number
-
+
131410401320132 = 2211137313346720089
BaseRepresentation
bin11101111000010001011110…
…010010100101110011000100
3122020021201012210220220002122
4131320101132102211303010
5114211012000214221012
61143253034401025112
736452042151134144
oct3570213622456304
9566251183826078
10131410401320132
1138964924757260
12128a4271625198
135842c4206094c
142464423d56924
15102d44593ae72
hex77845e4a5cc4

131410401320132 has 96 divisors (see below), whose sum is σ = 253598713522560. Its totient is φ = 59086566789120.

The previous prime is 131410401320117. The next prime is 131410401320147. The reversal of 131410401320132 is 231023104014131.

It is an interprime number because it is at equal distance from previous prime (131410401320117) and next prime (131410401320147).

It is a super-3 number, since 3×1314104013201323 (a number of 43 digits) contains 333 as substring.

131410401320132 is a modest number, since divided by 1320132 gives 1314104 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6541400744 + ... + 6541420832.

It is an arithmetic number, because the mean of its divisors is an integer number (2641653265860).

Almost surely, 2131410401320132 is an apocalyptic number.

It is an amenable number.

131410401320132 is a deficient number, since it is larger than the sum of its proper divisors (122188312202428).

131410401320132 is a wasteful number, since it uses less digits than its factorization.

131410401320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24021 (or 24019 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131410401320132 its reverse (231023104014131), we get a palindrome (362433505334263).

The spelling of 131410401320132 in words is "one hundred thirty-one trillion, four hundred ten billion, four hundred one million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 137 274 313 548 626 1252 1507 3014 3443 3467 6028 6886 6934 13772 13868 20089 38137 40178 42881 76274 80356 85762 152548 171524 220979 441958 471691 474979 883916 943382 949958 1085171 1886764 1899916 2170342 2752193 4340684 5224769 5504386 6287857 10449538 11008772 11936881 12575714 20899076 23873762 25151428 30274123 47747524 60548246 69166427 69648563 121096492 138332854 139297126 148668427 276665708 278594252 297336854 594673708 766134193 861436409 1532268386 1635352697 1722872818 3064536772 3270705394 3445745636 6541410788 9475800499 9541853131 18951600998 19083706262 21800000219 37903201996 38167412524 43600000438 87200000876 104960384441 209920768882 239800002409 419841537764 479600004818 959200009636 2986600030003 5973200060006 11946400120012 32852600330033 65705200660066 131410401320132