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2201200001 = 7211131721087
BaseRepresentation
bin1000001100110011…
…1010010110000001
312200101221112201222
42003030322112001
514002001400001
61002231204425
7105355614500
oct20314722601
95611845658
102201200001
11a2a57a160
12515216715
13291061910
1416c4b0837
15cd3a761b
hex8333a581

2201200001 has 72 divisors (see below), whose sum is σ = 3198537216. Its totient is φ = 1488775680.

The previous prime is 2201199883. The next prime is 2201200009. The reversal of 2201200001 is 1000021022.

It is a de Polignac number, because none of the positive numbers 2k-2201200001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2201200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2024480 + ... + 2025566.

It is an arithmetic number, because the mean of its divisors is an integer number (44424128).

Almost surely, 22201200001 is an apocalyptic number.

It is an amenable number.

2201200001 is a deficient number, since it is larger than the sum of its proper divisors (997337215).

2201200001 is a wasteful number, since it uses less digits than its factorization.

2201200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2201200001 is about 46916.9479079788. The cubic root of 2201200001 is about 1300.8278752388.

Adding to 2201200001 its reverse (1000021022), we get a palindrome (3201221023).

It can be divided in two parts, 2201 and 200001, that added together give a palindrome (202202).

The spelling of 2201200001 in words is "two billion, two hundred one million, two hundred thousand, one".

Divisors: 1 7 11 13 17 49 77 91 119 143 187 221 289 539 637 833 1001 1087 1309 1547 2023 2431 3179 3757 7007 7609 9163 10829 11957 14131 14161 17017 18479 22253 26299 41327 53263 83699 98917 119119 129353 155441 155771 184093 203269 240227 289289 314143 585893 692419 905471 1088087 1422883 1681589 2025023 2199001 2642497 3455573 4083859 7616609 9960181 11771123 15393007 18497479 24189011 28587013 44922449 129482353 169323077 200109091 314457143 2201200001