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131141101133020 = 225115393231105267
BaseRepresentation
bin11101110100010110101010…
…101111111001110011011100
3122012022222002211002221112111
4131310112222233321303130
5114142103433342224040
61142525220135243404
736423426511252246
oct3564265257716334
9565288084087474
10131141101133020
11388706a0825850
1212860035519564
13582372559c2c4
142455398189096
15102643353cdea
hex7745aabf9cdc

131141101133020 has 48 divisors (see below), whose sum is σ = 300433169651328. Its totient is φ = 47687541572160.

The previous prime is 131141101133011. The next prime is 131141101133033. The reversal of 131141101133020 is 20331101141131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131141101132982 and 131141101133000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118098427 + ... + 119203693.

It is an arithmetic number, because the mean of its divisors is an integer number (6259024367736).

Almost surely, 2131141101133020 is an apocalyptic number.

131141101133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141101133020 is an abundant number, since it is smaller than the sum of its proper divisors (169292068518308).

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

131141101133020 is a wasteful number, since it uses less digits than its factorization.

131141101133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644610 (or 1644608 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 131141101133020 its reverse (20331101141131), we get a palindrome (151472202274151).

The spelling of 131141101133020 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 539323 1078646 1105267 2157292 2210534 2696615 4421068 5393230 5526335 5932553 10786460 11052670 11865106 12157937 22105340 23730212 24315874 29662765 48631748 59325530 60789685 118651060 121579370 243158740 596095914241 1192191828482 2384383656964 2980479571205 5960959142410 6557055056651 11921918284820 13114110113302 26228220226604 32785275283255 65570550566510 131141101133020