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131141111232340 = 22511932416393067
BaseRepresentation
bin11101110100010110101011…
…010110011011011101010100
3122012022222010112010001012101
4131310112223112123131110
5114142103443433413330
61142525221135531444
736423426663144316
oct3564265326333524
9565288115101171
10131141111232340
11388706a64a35a0
1212860038989b84
1358237276c7131
1424553996577b6
1510264343854ca
hex7745ab59b754

131141111232340 has 48 divisors (see below), whose sum is σ = 300435633013824. Its totient is φ = 47687157907200.

The previous prime is 131141111232277. The next prime is 131141111232367. The reversal of 131141111232340 is 43232111141131.

131141111232340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131141111232299 and 131141111232308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17316487 + ... + 23709553.

It is an arithmetic number, because the mean of its divisors is an integer number (6259075687788).

Almost surely, 2131141111232340 is an apocalyptic number.

131141111232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141111232340 is an abundant number, since it is smaller than the sum of its proper divisors (169294521781484).

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

131141111232340 is a wasteful number, since it uses less digits than its factorization.

131141111232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486328 (or 6486326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 131141111232340 its reverse (43232111141131), we get a palindrome (174373222373471).

The spelling of 131141111232340 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 93241 186482 372964 466205 932410 1025651 1864820 2051302 4102604 5128255 6393067 10256510 12786134 20513020 25572268 31965335 63930670 70323737 127861340 140647474 281294948 351618685 703237370 1406474740 596095960147 1192191920294 2384383840588 2980479800735 5960959601470 6557055561617 11921919202940 13114111123234 26228222246468 32785277808085 65570555616170 131141111232340