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12202211221101 = 32111728148715297
BaseRepresentation
bin1011000110010000110001…
…1101110001111001101101
31121012112001002011110101200
42301210030131301321231
53044410112033033401
641541341330200113
72366403112022166
oct261441435617155
947175032143350
1012202211221101
113984a2413a160
121450a53a23039
136a6881b6b9c5
1430283961c76d
1516261a57b686
hexb190c771e6d

12202211221101 has 96 divisors (see below), whose sum is σ = 20439273044736. Its totient is φ = 6932760576000.

The previous prime is 12202211221099. The next prime is 12202211221103. The reversal of 12202211221101 is 10112211220221.

12202211221101 is a `hidden beast` number, since 1 + 220 + 2 + 211 + 221 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12202211221099) and next prime (12202211221103).

It is not a de Polignac number, because 12202211221101 - 21 = 12202211221099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202211221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2303605285 + ... + 2303610581.

It is an arithmetic number, because the mean of its divisors is an integer number (212909094216).

Almost surely, 212202211221101 is an apocalyptic number.

12202211221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202211221101 is a deficient number, since it is larger than the sum of its proper divisors (8237061823635).

12202211221101 is a wasteful number, since it uses less digits than its factorization.

12202211221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10480 counting only the distinct ones).

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

Adding to 12202211221101 its reverse (10112211220221), we get a palindrome (22314422441322).

The spelling of 12202211221101 in words is "twelve trillion, two hundred two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 11 17 33 51 99 153 187 281 561 843 1683 2529 3091 4777 4871 5297 9273 14331 14613 15891 27819 42993 43839 47673 52547 53581 58267 82807 90049 157641 160743 174801 248421 270147 472923 482229 524403 745263 810441 910877 990539 1368751 1488457 2732631 2971617 4106253 4465371 8197893 8914851 12318759 13396113 15056261 16373027 23268767 25303769 25801687 45168783 49119081 69806301 75911307 77405061 135506349 147357243 209418903 227733921 232215183 255956437 278341459 283818557 438628679 767869311 835024377 851455671 1315886037 2303607933 2505073131 2554367013 3947658111 4824915469 7250274047 14474746407 21750822141 43424239221 65252466423 79753014517 123254658799 239259043551 369763976397 717777130653 1109291929191 1355801246789 4067403740367 12202211221101