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131320123020 = 223352039119267
BaseRepresentation
bin111101001001101001…
…0100000111010001100
3110112221220222102222000
41322103102200322030
54122420422414040
6140154433552300
712326143425342
oct1722322407214
9415856872860
10131320123020
1150768871099
122154aa15690
13c4ca536c08
1464da947992
153638bcb130
hex1e934a0e8c

131320123020 has 96 divisors (see below), whose sum is σ = 408755289600. Its totient is φ = 35001231552.

The previous prime is 131320123013. The next prime is 131320123049. The reversal of 131320123020 is 20321023131.

131320123020 is a `hidden beast` number, since 1 + 31 + 320 + 12 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131320122984 and 131320123002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041427 + ... + 1160693.

It is an arithmetic number, because the mean of its divisors is an integer number (4257867600).

Almost surely, 2131320123020 is an apocalyptic number.

131320123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131320123020 is an abundant number, since it is smaller than the sum of its proper divisors (277435166580).

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

131320123020 is a wasteful number, since it uses less digits than its factorization.

131320123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121324 (or 121316 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131320123020 its reverse (20321023131), we get a palindrome (151641146151).

The spelling of 131320123020 in words is "one hundred thirty-one billion, three hundred twenty million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2039 4078 6117 8156 10195 12234 18351 20390 24468 30585 36702 40780 55053 61170 73404 91755 110106 119267 122340 183510 220212 238534 275265 357801 367020 477068 550530 596335 715602 1073403 1101060 1192670 1431204 1789005 2146806 2385340 3220209 3578010 4293612 5367015 6440418 7156020 10734030 12880836 16101045 21468060 32202090 64404180 243185413 486370826 729556239 972741652 1215927065 1459112478 2188668717 2431854130 2918224956 3647781195 4377337434 4863708260 6566006151 7295562390 8754674868 10943343585 13132012302 14591124780 21886687170 26264024604 32830030755 43773374340 65660061510 131320123020