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211320223323003 = 34331347132717117
BaseRepresentation
bin110000000011000111010010…
…110110000101001101111011
31000201020000102200222000110000
4300003013102312011031323
5210144232304132314003
62025235100450124043
762340245063034054
oct6003072266051573
91021200380860400
10211320223323003
1161373448a60443
121b84b337280623
1390bb54724b542
143a27d4c11772b
151966dcd5881a3
hexc031d2d8537b

211320223323003 has 80 divisors (see below), whose sum is σ = 317799928410624. Its totient is φ = 139936046627520.

The previous prime is 211320223322983. The next prime is 211320223323059. The reversal of 211320223323003 is 300323322023112.

211320223323003 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 0 + 22 + 332 + 300 + 3 = 666.

It is not a de Polignac number, because 211320223323003 - 29 = 211320223322491 is a prime.

It is a super-2 number, since 2×2113202233230032 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (211320223321003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12345625801 + ... + 12345642917.

Almost surely, 2211320223323003 is an apocalyptic number.

211320223323003 is a deficient number, since it is larger than the sum of its proper divisors (106479705087621).

211320223323003 is a wasteful number, since it uses less digits than its factorization.

211320223323003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19134 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 211320223323003 its reverse (300323322023112), we get a palindrome (511643545346115).

The spelling of 211320223323003 in words is "two hundred eleven trillion, three hundred twenty billion, two hundred twenty-three million, three hundred twenty-three thousand, three".

Divisors: 1 3 9 27 81 331 347 993 1041 1327 2979 3123 3981 8937 9369 11943 17117 26811 28107 35829 51351 107487 114857 154053 344571 439237 460469 462159 1033713 1317711 1381407 1386477 3101139 3953133 4144221 5665727 5939599 9303417 11859399 12432663 16997181 17818797 22714259 35578197 37297989 50991543 53456391 68142777 152415239 152974629 160369173 204428331 457245717 458923887 481107519 613284993 1371737151 1839854979 1966007269 4115211453 5898021807 7518419729 7881847873 12345634359 17694065421 22555259187 23645543619 53082196263 67665777561 70936630857 159246588789 202997332683 212809892571 608991998049 638429677713 2608891645963 7826674937889 23480024813667 70440074441001 211320223323003