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131141324013130 = 25107181782986491
BaseRepresentation
bin11101110100010110111000…
…000010000111111001001010
3122012022222200100111102120101
4131310112320002013321022
5114142104412421410010
61142525254220320014
736423435155562424
oct3564267002077112
9565288610442511
10131141324013130
11388707a5615992
12128600980a300a
13582375c807922
1424553b9a05814
151026447db673a
hex7745b8087e4a

131141324013130 has 64 divisors (see below), whose sum is σ = 239610226826880. Its totient is φ = 51671976710400.

The previous prime is 131141324013101. The next prime is 131141324013233. The reversal of 131141324013130 is 31310423141131.

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, 1516199185 + ... + 1516285675.

It is an arithmetic number, because the mean of its divisors is an integer number (3743909794170).

Almost surely, 2131141324013130 is an apocalyptic number.

131141324013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131141324013130 is a deficient number, since it is larger than the sum of its proper divisors (108468902813750).

131141324013130 is a wasteful number, since it uses less digits than its factorization.

131141324013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94615.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131141324013130 its reverse (31310423141131), we get a palindrome (162451747154261).

The spelling of 131141324013130 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, thirteen thousand, one hundred thirty".

Divisors: 1 2 5 10 107 181 214 362 535 905 1070 1810 7829 15658 19367 38734 39145 78290 86491 96835 172982 193670 432455 837703 864910 1417049 1675406 2834098 4188515 7085245 8377030 9254537 14170490 15654871 18509074 31309742 46272685 78274355 92545370 151624243 156548710 303248486 677138039 758121215 1354276078 1516242430 1675071197 3350142394 3385690195 6771380390 8375355985 16750711970 72453770173 122561985059 144907540346 245123970118 362268850865 612809925295 724537701730 1225619850590 13114132401313 26228264802626 65570662006565 131141324013130