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131111003220 = 223573181116529
BaseRepresentation
bin111101000011011010…
…0110010010001010100
3110112102100111001112020
41322012310302101110
54122003404100340
6140122003453140
712321024065541
oct1720664622124
9415370431466
10131111003220
115067081a30a
12214b09871b0
13c4961088a2
1464bac6dbc8
15362566e9d0
hex1e86d32454

131111003220 has 96 divisors (see below), whose sum is σ = 372367739520. Its totient is φ = 34462863360.

The previous prime is 131111003209. The next prime is 131111003251. The reversal of 131111003220 is 22300111131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131111003220.

It is a congruent number.

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, 7923916 + ... + 7940444.

It is an arithmetic number, because the mean of its divisors is an integer number (3878830620).

Almost surely, 2131111003220 is an apocalyptic number.

131111003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131111003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186183869760).

131111003220 is an abundant number, since it is smaller than the sum of its proper divisors (241256736300).

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

131111003220 is a wasteful number, since it uses less digits than its factorization.

131111003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18425 (or 18423 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131111003220 its reverse (22300111131), we get a palindrome (153411114351).

The spelling of 131111003220 in words is "one hundred thirty-one billion, one hundred eleven million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 1811 2190 3622 4380 5433 7244 9055 10866 16529 18110 21732 27165 33058 36220 49587 54330 66116 82645 99174 108660 132203 165290 198348 247935 264406 330580 396609 495870 528812 661015 793218 991740 1206617 1322030 1586436 1983045 2413234 2644060 3619851 3966090 4826468 6033085 7239702 7932180 12066170 14479404 18099255 24132340 29934019 36198510 59868038 72397020 89802057 119736076 149670095 179604114 299340190 359208228 449010285 598680380 898020570 1796041140 2185183387 4370366774 6555550161 8740733548 10925916935 13111100322 21851833870 26222200644 32777750805 43703667740 65555501610 131111003220