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131141403411095 = 57211111774353673
BaseRepresentation
bin11101110100010110111100…
…110001000000001010010111
3122012022222212212220021002202
4131310112330301000022113
5114142110043233123340
61142525310134155115
736423440141500400
oct3564267461001227
9565288785807082
10131141403411095
1138870836415840
12128600ba7b2a9b
1358237730b6c7c
1424553c63929a7
15102644ed4bc15
hex7745bcc40297

131141403411095 has 48 divisors (see below), whose sum is σ = 199722670157088. Its totient is φ = 81743152296960.

The previous prime is 131141403411047. The next prime is 131141403411167. The reversal of 131141403411095 is 590114304141131.

It is not a de Polignac number, because 131141403411095 - 210 = 131141403410071 is a prime.

It is a Duffinian number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 27945179 + ... + 32298851.

It is an arithmetic number, because the mean of its divisors is an integer number (4160888961606).

Almost surely, 2131141403411095 is an apocalyptic number.

131141403411095 is a deficient number, since it is larger than the sum of its proper divisors (68581266745993).

131141403411095 is a wasteful number, since it uses less digits than its factorization.

131141403411095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364880 (or 4364873 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 131141403411095 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred three million, four hundred eleven thousand, ninety-five".

Divisors: 1 5 7 11 35 49 55 77 245 385 539 2695 11177 55885 78239 122947 391195 547673 614735 860629 2738365 4303145 4353673 6024403 21768365 30122015 30475711 47890403 152378555 213329977 239452015 335232821 1066649885 1676164105 2346629747 11733148735 48661003121 243305015605 340627021847 535271034331 1703135109235 2384389152929 2676355171655 3746897240317 11921945764645 18734486201585 26228280682219 131141403411095