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8200120221 = 3217477116061
BaseRepresentation
bin1111010001100001…
…11110011110011101
3210011110222021020100
413220300332132131
5113243212321341
63433405011313
7410130605016
oct75060763635
923143867210
108200120221
113528832767
12170a253b39
13a08b40057
1457b0bc00d
1532ed7a3b6
hex1e8c3e79d

8200120221 has 48 divisors (see below), whose sum is σ = 12989403648. Its totient is φ = 4964467200.

The previous prime is 8200120199. The next prime is 8200120223. The reversal of 8200120221 is 1220210028.

It is a happy number.

It is not a de Polignac number, because 8200120221 - 25 = 8200120189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8200120194 and 8200120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8200120223) 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, 502531 + ... + 518591.

It is an arithmetic number, because the mean of its divisors is an integer number (270612576).

Almost surely, 28200120221 is an apocalyptic number.

It is an amenable number.

8200120221 is a deficient number, since it is larger than the sum of its proper divisors (4789283427).

8200120221 is a wasteful number, since it uses less digits than its factorization.

8200120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16202 (or 16199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8200120221 is about 90554.5151883660. The cubic root of 8200120221 is about 2016.5395300160.

Adding to 8200120221 its reverse (1220210028), we get a palindrome (9420330249).

The spelling of 8200120221 in words is "eight billion, two hundred million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 47 51 71 141 153 213 423 639 799 1207 2397 3337 3621 7191 10011 10863 16061 30033 48183 56729 144549 170187 273037 510561 754867 819111 1140331 2264601 2457333 3420993 6793803 10262979 12832739 19385627 38498217 53595557 58156881 115494651 160786671 174470643 482360013 911124469 2733373407 8200120221