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212200001221 = 132174711313907
BaseRepresentation
bin1100010110100000011…
…0110000111011000101
3202021201120201221221111
43011220012300323011
511434041200014341
6241252222245021
721221341151455
oct3055006607305
9667646657844
10212200001221
1181aa240673a
1235161426771
1317019a3b700
14a3b04c1d65
1557be54e681
hex31681b0ec5

212200001221 has 48 divisors (see below), whose sum is σ = 250688473344. Its totient is φ = 178822705152.

The previous prime is 212200001219. The next prime is 212200001257. The reversal of 212200001221 is 122100002212.

It is a happy number.

It is not a de Polignac number, because 212200001221 - 21 = 212200001219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200001291) 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 47 ways as a sum of consecutive naturals, for example, 15251550 + ... + 15265456.

It is an arithmetic number, because the mean of its divisors is an integer number (5222676528).

Almost surely, 2212200001221 is an apocalyptic number.

It is an amenable number.

212200001221 is a deficient number, since it is larger than the sum of its proper divisors (38488472123).

212200001221 is a wasteful number, since it uses less digits than its factorization.

212200001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14110 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212200001221 its reverse (122100002212), we get a palindrome (334300003433).

Subtracting from 212200001221 its reverse (122100002212), we obtain a palindrome (90099999009).

The spelling of 212200001221 in words is "two hundred twelve billion, two hundred million, one thousand, two hundred twenty-one".

Divisors: 1 13 17 47 113 169 221 611 799 1469 1921 2873 5311 7943 10387 13907 19097 24973 69043 90287 135031 180791 236419 324649 653629 897559 1173731 1571491 2350283 3073447 8497177 11111693 15258503 20429383 26715347 39954811 73860077 110463301 144452009 265581979 347299511 960181001 1255621309 1877876117 4514893643 12482353013 16323077017 212200001221