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211322120323223 = 7313195477455419
BaseRepresentation
bin110000000011001001000011…
…111010100100000010010111
31000201020012022220111121112102
4300003021003322210002113
5210144300200300320343
62025240013013312315
762340343066211000
oct6003110372440227
91021205286447472
10211322120323223
1161374231847818
121b84b78663569b
1390bb78a271890
143a2808c0401a7
151966e8eda23b8
hexc03243ea4097

211322120323223 has 64 divisors (see below), whose sum is σ = 279416565120000. Its totient is φ = 158370654943872.

The previous prime is 211322120323189. The next prime is 211322120323271. The reversal of 211322120323223 is 322323021223112.

It is not a de Polignac number, because 211322120323223 - 26 = 211322120323159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211322120323823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463789208 + ... + 464244626.

It is an arithmetic number, because the mean of its divisors is an integer number (4365883830000).

Almost surely, 2211322120323223 is an apocalyptic number.

211322120323223 is a deficient number, since it is larger than the sum of its proper divisors (68094444796777).

211322120323223 is a wasteful number, since it uses less digits than its factorization.

211322120323223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460949 (or 460935 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 211322120323223 its reverse (322323021223112), we get a palindrome (533645141546335).

The spelling of 211322120323223 in words is "two hundred eleven trillion, three hundred twenty-two billion, one hundred twenty million, three hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 7 13 19 49 91 133 247 343 637 931 1729 4459 5477 6517 12103 38339 71201 84721 104063 268373 455419 498407 728441 1352819 1878611 3187933 3488849 5099087 5920447 8652961 9469733 22315531 24421943 35693609 41443129 60570727 66288131 112488493 156208717 290101903 423995089 464016917 787419451 2030713321 2494329863 2967965623 5511936157 17460309041 32426288219 38583553099 47392267397 122222163287 226984017533 331745871779 616099476161 855555143009 1588888122731 2322221102453 4312696333127 11122216859117 16255547717171 30188874331889 211322120323223