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221111121111122 = 211241271657712503
BaseRepresentation
bin110010010001100101110001…
…110101000110100001010010
31001222220000110012111022102102
4302101211301311012201102
5212440141034001023442
62102133014033120402
764400515464056444
oct6221456165064122
91058800405438372
10221111121111122
11644a877756a800
12209709970b9102
13964b8c639b0b8
143c85b9a344494
151a8691adda232
hexc91971d46852

221111121111122 has 96 divisors (see below), whose sum is σ = 374915956326912. Its totient is φ = 97669224576000.

The previous prime is 221111121111103. The next prime is 221111121111161.

221111121111122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221111121111094 and 221111121111103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17684639123 + ... + 17684651625.

It is an arithmetic number, because the mean of its divisors is an integer number (3905374545072).

Almost surely, 2221111121111122 is an apocalyptic number.

221111121111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221111121111122 is a deficient number, since it is larger than the sum of its proper divisors (153804835215790).

221111121111122 is a wasteful number, since it uses less digits than its factorization.

221111121111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19416 (or 19405 counting only the distinct ones).

The product of its digits is 32, while the sum is 20.

The spelling of 221111121111122 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 22 41 82 121 242 271 451 542 902 2981 4961 5962 6577 9922 11111 12503 13154 22222 25006 32791 65582 72347 122221 137533 144694 244442 269657 275066 512623 539314 795817 1025246 1344431 1512863 1591634 1782367 2688862 2966227 3025726 3388313 3564734 5638853 5932454 6776626 11277706 19606037 32628497 37271443 39212074 62027383 65256994 73077047 74542886 82232231 124054766 138920833 146154094 164464462 215666407 277841666 409985873 431332814 803847517 819971746 904554541 1528129163 1607695034 1809109082 3056258326 3371521471 6743042942 8842322687 9950099951 16809420793 17684645374 19900199902 22284934601 33618841586 37086736181 44569869202 74173472362 245134280611 407954097991 490268561222 815908195982 913682318641 1827364637282 2696477086721 5392954173442 10050505505051 20101011010102 110555560555561 221111121111122