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131200101232002 = 232113732653548459
BaseRepresentation
bin11101110101001101100111…
…011011011010110110000010
3122012112121101122012111221200
4131311031213123122312002
5114144040301403411002
61143012254444202030
736430615546650525
oct3565154733326602
9565477348174850
10131200101232002
1138893717847430
121286b560539316
135829168b2538a
142458193d18bbc
151027c380cdb1c
hex7753676dad82

131200101232002 has 96 divisors (see below), whose sum is σ = 318500997946560. Its totient is φ = 38681821330560.

The previous prime is 131200101231973. The next prime is 131200101232009. The reversal of 131200101232002 is 200232101002131.

131200101232002 is a `hidden beast` number, since 131 + 200 + 1 + 0 + 12 + 320 + 0 + 2 = 666.

It is a super-3 number, since 3×1312001012320023 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131200101232009) 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, 238941649 + ... + 239490107.

It is an arithmetic number, because the mean of its divisors is an integer number (3317718728610).

Almost surely, 2131200101232002 is an apocalyptic number.

131200101232002 is an abundant number, since it is smaller than the sum of its proper divisors (187300896714558).

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

131200101232002 is a wasteful number, since it uses less digits than its factorization.

131200101232002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581168 (or 581165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131200101232002 its reverse (200232101002131), we get a palindrome (331432202234133).

The spelling of 131200101232002 in words is "one hundred thirty-one trillion, two hundred billion, one hundred one million, two hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 32653 65306 97959 195918 293877 359183 548459 587754 718366 1077549 1096918 1208161 1645377 2155098 2416322 3232647 3290754 3624483 4936131 6033049 6465294 7248966 9872262 10873449 12066098 13289771 18099147 20292983 21746898 26579542 36198294 39869313 40585966 54297441 60878949 79738626 108594882 119607939 121757898 182636847 223222813 239215878 365273694 446445626 669668439 1339336878 2009005317 4018010634 17908831727 35817663454 53726495181 107452990362 161179485543 196997148997 322358971086 393994297994 590991446991 662626773899 1181982893982 1325253547798 1772974340973 1987880321697 3545948681946 3975760643394 5963640965091 7288894512889 11927281930182 14577789025778 21866683538667 43733367077334 65600050616001 131200101232002