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131216022 = 2327353401
BaseRepresentation
bin1111101001000…
…11001010010110
3100010220110112200
413310203022112
5232042403042
621004225330
73152214000
oct764431226
9303813480
10131216022
11680825a3
1237b3b246
1321253122
14135d9370
15b7bdc4c
hex7d23296

131216022 has 96 divisors (see below), whose sum is σ = 338644800. Its totient is φ = 36691200.

The previous prime is 131216021. The next prime is 131216051. The reversal of 131216022 is 220612131.

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 = 131215986 and 131216004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131216021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327022 + ... + 327422.

It is an arithmetic number, because the mean of its divisors is an integer number (3527550).

Almost surely, 2131216022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131216022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169322400).

131216022 is an abundant number, since it is smaller than the sum of its proper divisors (207428778).

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

131216022 is a wasteful number, since it uses less digits than its factorization.

131216022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131216022 is about 11454.9562199076. The cubic root of 131216022 is about 508.1543205078.

Adding to 131216022 its reverse (220612131), we get a palindrome (351828153).

It can be divided in two parts, 131 and 216022, that added together give a triangular number (216153 = T657).

The spelling of 131216022 in words is "one hundred thirty-one million, two hundred sixteen thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 159 294 318 343 371 401 441 477 686 742 802 882 954 1029 1113 1203 2058 2226 2406 2597 2807 3087 3339 3609 5194 5614 6174 6678 7218 7791 8421 15582 16842 18179 19649 21253 23373 25263 36358 39298 42506 46746 50526 54537 58947 63759 109074 117894 127518 137543 148771 163611 176841 191277 275086 297542 327222 353682 382554 412629 446313 825258 892626 1041397 1237887 1338939 2082794 2475774 2677878 3124191 6248382 7289779 9372573 14579558 18745146 21869337 43738674 65608011 131216022