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211222100022012 = 223319071110255099
BaseRepresentation
bin110000000001101011111010…
…001111011001001011111100
31000200212122011022122212021000
4300001223322033121023330
5210141130330101201022
62025122032043210300
762330202354530202
oct6001537217311374
91020778138585230
10211222100022012
1161335875a06062
121b834311b16990
1390b220a4a48b1
143a232c0417072
151964588ea76ac
hexc01afa3d92fc

211222100022012 has 48 divisors (see below), whose sum is σ = 547615776736000. Its totient is φ = 70406990624880.

The previous prime is 211222100021953. The next prime is 211222100022023. The reversal of 211222100022012 is 210220001222112.

It is a happy number.

211222100022012 is a `hidden beast` number, since 211 + 2 + 221 + 0 + 0 + 0 + 220 + 12 = 666.

It is a super-3 number, since 3×2112221000220123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15469239 + ... + 25724337.

Almost surely, 2211222100022012 is an apocalyptic number.

It is an amenable number.

211222100022012 is an abundant number, since it is smaller than the sum of its proper divisors (336393676713988).

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

211222100022012 is a wasteful number, since it uses less digits than its factorization.

211222100022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445823 (or 10445815 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211222100022012 its reverse (210220001222112), we get a palindrome (421442101244124).

The spelling of 211222100022012 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 190711 381422 572133 762844 1144266 1716399 2288532 3432798 5149197 6865596 10255099 10298394 20510198 20596788 30765297 41020396 61530594 92295891 123061188 184591782 276887673 369183564 553775346 1107550692 1955760185389 3911520370778 5867280556167 7823040741556 11734561112334 17601841668501 23469122224668 35203683337002 52805525005503 70407366674004 105611050011006 211222100022012