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131141341023441 = 37191485122131509
BaseRepresentation
bin11101110100010110111001…
…000011000000110011010001
3122012022222201112111122022220
4131310112321003000303101
5114142104431300222231
61142525300025051253
736423435453300240
oct3564267103006321
9565288645448286
10131141341023441
1138870804183aa1
12128600a1926b29
1358237631b22b8
1424553bbd92957
151026449626896
hex7745b90c0cd1

131141341023441 has 32 divisors (see below), whose sum is σ = 210366199372800. Its totient is φ = 70989025060800.

The previous prime is 131141341023439. The next prime is 131141341023493. The reversal of 131141341023441 is 144320143141131.

It is not a de Polignac number, because 131141341023441 - 21 = 131141341023439 is a prime.

It is a super-2 number, since 2×1311413410234412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131141341023841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5140206 + ... + 16991303.

It is an arithmetic number, because the mean of its divisors is an integer number (6573943730400).

Almost surely, 2131141341023441 is an apocalyptic number.

It is an amenable number.

131141341023441 is a deficient number, since it is larger than the sum of its proper divisors (79224858349359).

131141341023441 is a wasteful number, since it uses less digits than its factorization.

131141341023441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22146389.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 131141341023441 its reverse (144320143141131), we get a palindrome (275461484164572).

The spelling of 131141341023441 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-one million, twenty-three thousand, four hundred forty-one".

Divisors: 1 3 7 19 21 57 133 399 14851 44553 103957 282169 311871 846507 1975183 5925549 22131509 66394527 154920563 420498671 464761689 1261496013 2943490697 8830472091 328675040159 986025120477 2300725281113 6244825763021 6902175843339 18734477289063 43713780341147 131141341023441