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10011012121022 = 2112941799749943
BaseRepresentation
bin1001000110101101111011…
…0100100100000110111110
31022110001011122110221222112
42101223132310210012332
52303010023100333042
633142555005014022
72052162133002353
oct221533664440676
938401148427875
1010011012121022
11320a7123a0590
12115824b854312
1357805a737c73
1426876d87662a
15125621ac8982
hex91aded241be

10011012121022 has 128 divisors (see below), whose sum is σ = 17761205145600. Its totient is φ = 4188415795200.

The previous prime is 10011012121013. The next prime is 10011012121069. The reversal of 10011012121022 is 22012121011001.

It is a junction number, because it is equal to n+sod(n) for n = 10011012120988 and 10011012121006.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 200423783 + ... + 200473725.

It is an arithmetic number, because the mean of its divisors is an integer number (138759415200).

Almost surely, 210011012121022 is an apocalyptic number.

10011012121022 is a deficient number, since it is larger than the sum of its proper divisors (7750193024578).

10011012121022 is a wasteful number, since it uses less digits than its factorization.

10011012121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50202.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011012121022 its reverse (22012121011001), we get a palindrome (32023133132023).

The spelling of 10011012121022 in words is "ten trillion, eleven billion, twelve million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 11 22 29 41 58 79 82 97 158 194 319 451 638 869 902 1067 1189 1738 2134 2291 2378 2813 3239 3977 4582 5626 6478 7663 7954 13079 15326 25201 26158 30943 35629 43747 49943 50402 61886 71258 84293 87494 93931 99886 115333 168586 187862 222227 230666 314183 444454 549373 628366 1033241 1098746 1268663 1448347 2047663 2066482 2444497 2537326 2896694 3456013 3945497 4095326 4844471 4888994 6912026 7890994 9111307 9688942 15931817 18222614 22524293 31863634 43400467 45048586 53289181 59382227 86800934 100224377 106578362 114419413 118764454 140489659 161765377 198623311 200448754 228838826 280979318 323530754 382713209 397246622 653204497 765426418 1258613543 1306408994 1545386249 1779419147 2184856421 2517227086 3090772498 3558838294 4209845299 4369712842 4691195933 5760076019 8419690598 9382391866 11098683061 11520152038 15691241569 22197366122 31382483138 51603155263 63360836209 103206310526 122085513671 126721672418 172603657259 244171027342 345207314518 455046005501 910092011002 5005506060511 10011012121022