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131142131210442 = 2311243297694183
BaseRepresentation
bin11101110100010111101000…
…001001010101100011001010
3122012100001202121101022010010
4131310113220021111203022
5114142113041042213232
61142525510253332350
736423464156623362
oct3564275011254312
9565301677338103
10131142131210442
113887107a222200
12128602824970b6
13582385ab0a781
142455454cc59a2
151026493bb10cc
hex7745e82558ca

131142131210442 has 72 divisors (see below), whose sum is σ = 295156404137952. Its totient is φ = 38815852392240.

The previous prime is 131142131210437. The next prime is 131142131210557. The reversal of 131142131210442 is 244012131241131.

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 35 ways as a sum of consecutive naturals, for example, 47504718 + ... + 50189465.

It is an arithmetic number, because the mean of its divisors is an integer number (4099394501916).

Almost surely, 2131142131210442 is an apocalyptic number.

131142131210442 is an abundant number, since it is smaller than the sum of its proper divisors (164014272927510).

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

131142131210442 is a wasteful number, since it uses less digits than its factorization.

131142131210442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97694296 (or 97694242 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131142131210442 its reverse (244012131241131), we get a palindrome (375154262451573).

The spelling of 131142131210442 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty-one million, two hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 121 129 242 258 363 473 726 946 1419 1849 2838 3698 5203 5547 10406 11094 15609 20339 31218 40678 61017 122034 223729 447458 671187 1342374 97694183 195388366 293082549 586165098 1074636013 2149272026 3223908039 4200849869 6447816078 8401699738 11820996143 12602549607 23641992286 25205099214 35462988429 46209348559 70925976858 92418697118 138628045677 180636544367 277256091354 361273088734 508302834149 541909633101 1016605668298 1083819266202 1524908502447 1987001988037 3049817004894 3974003976074 5961005964111 11922011928222 21857021868407 43714043736814 65571065605221 131142131210442