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10050150222 = 2337103293881
BaseRepresentation
bin10010101110000100…
…10001111101001110
3221221102010112022000
421113002101331032
5131040314301342
64341133333130
7504023603340
oct112702217516
927842115260
1010050150222
114298058682
121b459371a6
13c421c9068
146b4a99290
153dc4b744c
hex257091f4e

10050150222 has 128 divisors (see below), whose sum is σ = 25889310720. Its totient is φ = 2830671360.

The previous prime is 10050150203. The next prime is 10050150223. The reversal of 10050150222 is 22205105001.

10050150222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10050150195 and 10050150204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10050150223) 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 63 ways as a sum of consecutive naturals, for example, 11407222 + ... + 11408102.

It is an arithmetic number, because the mean of its divisors is an integer number (202260240).

Almost surely, 210050150222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10050150222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944655360).

10050150222 is an abundant number, since it is smaller than the sum of its proper divisors (15839160498).

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

10050150222 is a wasteful number, since it uses less digits than its factorization.

10050150222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10050150222 its reverse (22205105001), we get a palindrome (32255255223).

The spelling of 10050150222 in words is "ten billion, fifty million, one hundred fifty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 189 206 293 309 378 586 618 721 879 881 927 1442 1758 1762 1854 2051 2163 2637 2643 2781 4102 4326 5274 5286 5562 6153 6167 6489 7911 7929 12306 12334 12978 15822 15858 18459 18501 19467 23787 30179 36918 37002 38934 47574 55377 55503 60358 90537 90743 110754 111006 166509 181074 181486 211253 258133 271611 272229 333018 422506 516266 543222 544458 633759 635201 774399 814833 816687 1267518 1270402 1548798 1629666 1633374 1806931 1901277 1905603 2323197 2450061 3613862 3802554 3811206 4646394 4900122 5420793 5703831 5716809 6969591 10841586 11407662 11433618 13939182 16262379 17150427 26587699 32524758 34300854 48787137 53175398 79763097 97574274 159526194 186113893 239289291 372227786 478578582 558341679 717867873 1116683358 1435735746 1675025037 3350050074 5025075111 10050150222