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2200130010 = 2325134314363
BaseRepresentation
bin1000001100100011…
…0101000111011010
312200022221011222200
42003020311013122
514001213130020
61002152231030
7105343540131
oct20310650732
95608834880
102200130010
11a29a09271
1251499b476
13290a788a0
1416c2b2918
15cd245590
hex832351da

2200130010 has 96 divisors (see below), whose sum is σ = 6176072448. Its totient is φ = 540190080.

The previous prime is 2200129999. The next prime is 2200130017. The reversal of 2200130010 is 100310022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2200129974 and 2200130001.

It is not an unprimeable number, because it can be changed into a prime (2200130017) 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, 502089 + ... + 506451.

It is an arithmetic number, because the mean of its divisors is an integer number (64334088).

Almost surely, 22200130010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088036224).

2200130010 is an abundant number, since it is smaller than the sum of its proper divisors (3975942438).

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

2200130010 is a wasteful number, since it uses less digits than its factorization.

2200130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2200130010 is about 46905.5434890163. The cubic root of 2200130010 is about 1300.6170660276.

Adding to 2200130010 its reverse (100310022), we get a palindrome (2300440032).

The spelling of 2200130010 in words is "two billion, two hundred million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 431 585 862 1170 1293 2155 2586 3879 4310 4363 5603 6465 7758 8726 11206 12930 13089 16809 19395 21815 26178 28015 33618 38790 39267 43630 50427 56030 56719 65445 78534 84045 100854 113438 130890 168090 170157 196335 252135 283595 340314 392670 504270 510471 567190 850785 1020942 1701570 1880453 2552355 3760906 5104710 5641359 9402265 11282718 16924077 18804530 24445889 28206795 33848154 48891778 56413590 73337667 84620385 122229445 146675334 169240770 220013001 244458890 366688335 440026002 733376670 1100065005 2200130010