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221210000201 = 17157125965831
BaseRepresentation
bin1100111000000100100…
…1001011101101001001
3210010222111122022222102
43032001021023231021
512111014230001301
6245342242003145
721660534656201
oct3160111135511
9703874568872
10221210000201
11858a6307293
1236a569464b5
1317b245acc58
14a9c6d7b401
155b4a553b6b
hex338124bb49

221210000201 has 16 divisors (see below), whose sum is σ = 235905022080. Its totient is φ = 206704093440.

The previous prime is 221210000177. The next prime is 221210000233. The reversal of 221210000201 is 102000012122.

It is a happy number.

It is not a de Polignac number, because 221210000201 - 214 = 221209983817 is a prime.

It is a super-3 number, since 3×2212100002013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221210500201) 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 15 ways as a sum of consecutive naturals, for example, 3327356 + ... + 3393186.

It is an arithmetic number, because the mean of its divisors is an integer number (14744063880).

Almost surely, 2221210000201 is an apocalyptic number.

It is an amenable number.

221210000201 is a deficient number, since it is larger than the sum of its proper divisors (14695021879).

221210000201 is a wasteful number, since it uses less digits than its factorization.

221210000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67264.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221210000201 its reverse (102000012122), we get a palindrome (323210012323).

The spelling of 221210000201 in words is "two hundred twenty-one billion, two hundred ten million, two hundred one", and thus it is an aban number.

Divisors: 1 17 157 1259 2669 21403 65831 197663 1119127 3360271 10335467 82881229 175702939 1408980893 13012352953 221210000201