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100010100111222 = 237171931123704547
BaseRepresentation
bin10110101111010101101010…
…011111011011011101110110
3111010002212112211110100012010
4112233111222133123131312
5101102031141112024342
6552412001123105050
730031330340521530
oct2657255237333566
9433085484410163
10100010100111222
1129959055289234
12b272764212186
1343a5bb17b5712
141a9a72c394850
15b8675b35529c
hex5af56a7db776

100010100111222 has 128 divisors (see below), whose sum is σ = 255599503810560. Its totient is φ = 25396102402560.

The previous prime is 100010100111199. The next prime is 100010100111227. The reversal of 100010100111222 is 222111001010001.

It is a junction number, because it is equal to n+sod(n) for n = 100010100111198 and 100010100111207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100111227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7633248 + ... + 16071299.

It is an arithmetic number, because the mean of its divisors is an integer number (1996871123520).

Almost surely, 2100010100111222 is an apocalyptic number.

100010100111222 is an abundant number, since it is smaller than the sum of its proper divisors (155589403699338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100010100111222 is a wasteful number, since it uses less digits than its factorization.

100010100111222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23704906.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100010100111222 its reverse (222111001010001), we get a palindrome (322121101121223).

The spelling of 100010100111222 in words is "one hundred trillion, ten billion, one hundred million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 311 323 357 399 622 646 714 798 933 969 1866 1938 2177 2261 4354 4522 5287 5909 6531 6783 10574 11818 13062 13566 15861 17727 31722 35454 37009 41363 74018 82726 100453 111027 124089 200906 222054 248178 301359 602718 703171 1406342 2109513 4219026 23704547 47409094 71113641 142227282 165931829 331863658 402977299 450386393 497795487 805954598 900772786 995590974 1208931897 1351159179 2417863794 2702318358 2820841093 3152704751 5641682186 6305409502 7372114117 7656568681 8462523279 9458114253 14744228234 15313137362 16925046558 18916228506 22116342351 22969706043 44232684702 45939412086 51604798819 53595980767 103209597638 107191961534 125325939989 140070168223 154814396457 160787942301 250651879978 280140336446 309628792914 321575884602 375977819967 420210504669 751955639934 840421009338 877281579923 980491177561 1754563159846 1960982355122 2381192859791 2631844739769 2941473532683 4762385719582 5263689479538 5882947065366 7143578579373 14287157158746 16668350018537 33336700037074 50005050055611 100010100111222