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131112343224 = 2335421160201
BaseRepresentation
bin111101000011011100…
…1111001011010111000
3110112102110000010200000
41322012321321122320
54122004224440344
6140122052313000
712321041346342
oct1720671713270
9415373003600
10131112343224
1150671555055
12214b1312760
13c4964877a5
1464bb0dc292
153625836a69
hex1e86e796b8

131112343224 has 96 divisors (see below), whose sum is σ = 369124632240. Its totient is φ = 43600032000.

The previous prime is 131112343169. The next prime is 131112343231. The reversal of 131112343224 is 422343211131.

131112343224 is a `hidden beast` number, since 1 + 311 + 1 + 2 + 343 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738324 + ... + 898524.

Almost surely, 2131112343224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131112343224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184562316120).

131112343224 is an abundant number, since it is smaller than the sum of its proper divisors (238012289016).

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

131112343224 is a wasteful number, since it uses less digits than its factorization.

131112343224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160643 (or 160627 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 131112343224 its reverse (422343211131), we get a palindrome (553455554355).

The spelling of 131112343224 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 421 486 648 842 972 1263 1684 1944 2526 3368 3789 5052 7578 10104 11367 15156 22734 30312 34101 45468 68202 90936 102303 136404 160201 204606 272808 320402 409212 480603 640804 818424 961206 1281608 1441809 1922412 2883618 3844824 4325427 5767236 8650854 11534472 12976281 17301708 25952562 34603416 38928843 51905124 67444621 77857686 103810248 134889242 155715372 202333863 269778484 311430744 404667726 539556968 607001589 809335452 1214003178 1618670904 1821004767 2428006356 3642009534 4856012712 5463014301 7284019068 10926028602 14568038136 16389042903 21852057204 32778085806 43704114408 65556171612 131112343224