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131321113220 = 225115910117189
BaseRepresentation
bin111101001001101011…
…0010010101010000100
3110112221222211202021002
41322103112102222010
54122421201110340
6140154511112432
712326155021253
oct1722326225204
9415858752232
10131321113220
1150769388040
122154b212718
13c4ca7c282b
1464dab2479a
153638d24715
hex1e93592a84

131321113220 has 48 divisors (see below), whose sum is σ = 305943825600. Its totient is φ = 46943752320.

The previous prime is 131321113193. The next prime is 131321113223. The reversal of 131321113220 is 22311123131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131321113192 and 131321113201.

It is not an unprimeable number, because it can be changed into a prime (131321113223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5045615 + ... + 5071574.

It is an arithmetic number, because the mean of its divisors is an integer number (6373829700).

Almost surely, 2131321113220 is an apocalyptic number.

131321113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321113220 is an abundant number, since it is smaller than the sum of its proper divisors (174622712380).

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

131321113220 is a wasteful number, since it uses less digits than its factorization.

131321113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117268 (or 10117266 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131321113220 its reverse (22311123131), we get a palindrome (153632236351).

The spelling of 131321113220 in words is "one hundred thirty-one billion, three hundred twenty-one million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 10117189 20234378 40468756 50585945 101171890 111289079 202343780 222578158 445156316 556445395 596914151 1112890790 1193828302 2225781580 2387656604 2984570755 5969141510 6566055661 11938283020 13132111322 26264222644 32830278305 65660556610 131321113220