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211103133103233 = 3476115091404449
BaseRepresentation
bin101111111111111101000111…
…010000100111010010000001
31000200110021002022102012210000
4233333331013100213102001
5210132203204033300413
62024551235053230213
762315461301436330
oct5777750720472201
91020407068365700
10211103133103233
116129a37720a178
121b815250192369
1390a3c2b33acb7
143a1b63638dd17
151961424a6a073
hexbfff47427481

211103133103233 has 80 divisors (see below), whose sum is σ = 366335227350400. Its totient is φ = 118644659020800.

The previous prime is 211103133103199. The next prime is 211103133103241. The reversal of 211103133103233 is 332301331301112.

211103133103233 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 0 + 3 + 1 + 331 + 0 + 323 + 3 = 666.

It is not a de Polignac number, because 211103133103233 - 210 = 211103133102209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211103133103197 and 211103133103206.

It is not an unprimeable number, because it can be changed into a prime (211103133103243) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521750193 + ... + 522154641.

It is an arithmetic number, because the mean of its divisors is an integer number (4579190341880).

Almost surely, 2211103133103233 is an apocalyptic number.

It is an amenable number.

211103133103233 is a deficient number, since it is larger than the sum of its proper divisors (155232094247167).

211103133103233 is a wasteful number, since it uses less digits than its factorization.

211103133103233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419620 (or 419611 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 211103133103233 its reverse (332301331301112), we get a palindrome (543404464404345).

The spelling of 211103133103233 in words is "two hundred eleven trillion, one hundred three billion, one hundred thirty-three million, one hundred three thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 61 63 81 183 189 427 549 567 1281 1647 3843 4941 11529 15091 34587 45273 105637 135819 316911 404449 407457 920551 950733 1213347 1222371 2761653 2831143 2852199 3640041 6443857 8284959 8493429 8556597 10920123 19331571 24671389 24854877 25480287 32760369 57994713 74014167 74564631 76440861 172699723 173984139 222042501 229322583 518099169 521952417 666127503 1554297507 1998382509 4662892521 6103539859 13988677563 18310619577 42724779013 54931858731 128174337039 164795576193 372315931399 384523011117 494386728579 1116947794197 1153569033351 2606211519793 3350843382591 3460707100053 7818634559379 10052530147773 23455903678137 30157590443319 70367711034411 211103133103233