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2201220313 = 23271103569
BaseRepresentation
bin1000001100110011…
…1111010011011001
312200101222120121021
42003030333103121
514002003022223
61002231442441
7105356030635
oct20314772331
95611876537
102201220313
11a2a593446
12515226421
1329106ac36
1416c4b7dc5
15cd3ad65d
hex8333f4d9

2201220313 has 24 divisors (see below), whose sum is σ = 2360292480. Its totient is φ = 2052093120.

The previous prime is 2201220293. The next prime is 2201220323. The reversal of 2201220313 is 3130221022.

It is not a de Polignac number, because 2201220313 - 225 = 2167665881 is a prime.

It is a super-3 number, since 3×22012203133 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2201220323) 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 23 ways as a sum of consecutive naturals, for example, 3868293 + ... + 3868861.

It is an arithmetic number, because the mean of its divisors is an integer number (98345520).

Almost surely, 22201220313 is an apocalyptic number.

2201220313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2201220313 is a deficient number, since it is larger than the sum of its proper divisors (159072167).

2201220313 is a wasteful number, since it uses less digits than its factorization.

2201220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2201220313 is about 46917.1643750984. The cubic root of 2201220313 is about 1300.8318764403.

Adding to 2201220313 its reverse (3130221022), we get a palindrome (5331441335).

The spelling of 2201220313 in words is "two billion, two hundred one million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 23 71 103 529 569 1633 2369 7313 13087 37559 40399 54487 58607 168199 301001 929177 1347961 3868577 4161097 21371071 31003103 95705231 2201220313