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131141101121343 = 339601505892909
BaseRepresentation
bin11101110100010110101010…
…101111110110111100111111
3122012022222002211002100112000
4131310112222233312330333
5114142103433341340333
61142525220135113343
736423426511203225
oct3564265257667477
9565288084070460
10131141101121343
11388706a0817aa5
1212860035512853
135823725596bb1
142455398184b15
151026433539713
hex7745aabf6f3f

131141101121343 has 16 divisors (see below), whose sum is σ = 194303348872800. Its totient is φ = 87418294502400.

The previous prime is 131141101121299. The next prime is 131141101121363. The reversal of 131141101121343 is 343121101141131.

131141101121343 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 411 + 0 + 112 + 134 + 3 = 666.

It is not a de Polignac number, because 131141101121343 - 233 = 131132511186751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141101121363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252687228 + ... + 253205681.

It is an arithmetic number, because the mean of its divisors is an integer number (12143959304550).

Almost surely, 2131141101121343 is an apocalyptic number.

131141101121343 is a deficient number, since it is larger than the sum of its proper divisors (63162247751457).

131141101121343 is an equidigital number, since it uses as much as digits as its factorization.

131141101121343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505902519 (or 505902513 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 131141101121343 its reverse (343121101141131), we get a palindrome (474262202262474).

The spelling of 131141101121343 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred one million, one hundred twenty-one thousand, three hundred forty-three".

Divisors: 1 3 9 27 9601 28803 86409 259227 505892909 1517678727 4553036181 13659108543 4857077819309 14571233457927 43713700373781 131141101121343