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2211020201221 = 134143297101229
BaseRepresentation
bin100000001011001011000…
…100101101110100000101
321211101000210120202120021
4200023023010231310011
5242211132132414341
64411421220135141
7315512066422426
oct40131304556405
97741023522507
102211020201221
117827632982a7
122b86162374b1
13130662a31a70
147902a3bd64d
153c7a8b819d1
hex202cb12dd05

2211020201221 has 96 divisors (see below), whose sum is σ = 2559069162720. Its totient is φ = 1897426944000.

The previous prime is 2211020201213. The next prime is 2211020201233. The reversal of 2211020201221 is 1221020201122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 249230592900 + 1961789608321 = 499230^2 + 1400639^2 .

It is not a de Polignac number, because 2211020201221 - 23 = 2211020201213 is a prime.

It is a super-2 number, since 2×22110202012212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211020201195 and 2211020201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211020201281) 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 95 ways as a sum of consecutive naturals, for example, 9655109935 + ... + 9655110163.

It is an arithmetic number, because the mean of its divisors is an integer number (26656970445).

Almost surely, 22211020201221 is an apocalyptic number.

It is an amenable number.

2211020201221 is a deficient number, since it is larger than the sum of its proper divisors (348048961499).

2211020201221 is a wasteful number, since it uses less digits than its factorization.

2211020201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211020201221 its reverse (1221020201122), we get a palindrome (3432040402343).

Subtracting from 2211020201221 its reverse (1221020201122), we obtain a palindrome (990000000099).

The spelling of 2211020201221 in words is "two trillion, two hundred eleven billion, twenty million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 13 41 43 97 101 229 533 559 1261 1313 1763 1849 2977 3977 4141 4171 4343 9389 9797 9847 22213 22919 23129 24037 51701 53833 54223 56459 75809 122057 127361 128011 171011 178063 179353 186749 288769 300677 401677 403727 421271 423421 910733 948289 955159 985517 994547 2223143 2243513 2314819 2331589 2427737 5221801 5248451 5476523 5504473 7353473 7656709 11839529 12327757 12417067 12929111 17272111 17360261 18114653 29165669 39161519 40776427 41071837 42765521 91984033 95595149 96471059 99537217 224537443 225683393 235490489 509099747 530093551 533933881 555951773 742700773 1195792429 1254123767 1683945317 1753386361 3955313419 4148255537 9655110049 21891289121 22794022693 51419074447 53927321981 170078477017 2211020201221