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11220101122221 = 354110111239929
BaseRepresentation
bin1010001101000110001000…
…1001000100100010101101
31110201122001010202011200000
42203101202021010202231
52432312231341402341
635510235430254513
72235424364642235
oct243214211044255
943648033664600
1011220101122221
113636466637812
1213126451b7439
13635088065394
142ab0ad142cc5
15146cd96c18b6
hexa34622448ad

11220101122221 has 96 divisors (see below), whose sum is σ = 17404694536320. Its totient is φ = 7218211968000.

The previous prime is 11220101122193. The next prime is 11220101122253. The reversal of 11220101122221 is 12222110102211.

11220101122221 is a `hidden beast` number, since 1 + 1 + 220 + 101 + 122 + 221 = 666.

It is not a de Polignac number, because 11220101122221 - 27 = 11220101122093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11220101122194 and 11220101122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220101122421) 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, 1130028385 + ... + 1130038313.

It is an arithmetic number, because the mean of its divisors is an integer number (181298901420).

Almost surely, 211220101122221 is an apocalyptic number.

It is an amenable number.

11220101122221 is a deficient number, since it is larger than the sum of its proper divisors (6184593414099).

11220101122221 is a wasteful number, since it uses less digits than its factorization.

11220101122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11220101122221 its reverse (12222110102211), we get a palindrome (23442211224432).

The spelling of 11220101122221 in words is "eleven trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 41 81 101 123 243 303 369 909 1107 1123 2727 3321 3369 4141 8181 9929 9963 10107 12423 24543 29787 30321 37269 46043 89361 90963 111807 113423 138129 268083 272889 335421 340269 407089 414387 804249 1002829 1006263 1020807 1221267 1243161 2412747 3008487 3062421 3663801 3729483 4650343 9025461 9187263 10991403 11150267 11188449 13951029 27076383 27561789 32974209 33450801 41115989 41853087 81229149 98922627 100352403 123347967 125559261 243687447 301057209 370043901 376677783 457160947 903171627 1110131703 1126176967 1130033349 1371482841 2709514881 3330395109 3378530901 4114448523 9991185327 10135592703 12343345569 30406778109 37030036707 46173255647 91220334327 111090110121 138519766941 273661002981 415559300823 1246677902469 3740033707407 11220101122221