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211220212212123 = 317831011732855747
BaseRepresentation
bin110000000001101010001001…
…101101111110000110011011
31000200212110021202102011221020
4300001222021231332012123
5210141112443311241443
62025121120445013523
762330104522441242
oct6001521155760633
91020773252364836
10211220212212123
1161334a973265a4
121b833a858542a3
1390b1c9934b71a
143a23181803959
1519644c83a6583
hexc01a89b7e19b

211220212212123 has 64 divisors (see below), whose sum is σ = 306535716168192. Its totient is φ = 128887813068800.

The previous prime is 211220212212083. The next prime is 211220212212169. The reversal of 211220212212123 is 321212212022112.

It is a cyclic number.

It is not a de Polignac number, because 211220212212123 - 28 = 211220212211867 is a prime.

It is a super-2 number, since 2×2112202122121232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220212212093 and 211220212212102.

It is not an unprimeable number, because it can be changed into a prime (211220212212173) 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 63 ways as a sum of consecutive naturals, for example, 72535336 + ... + 75391082.

It is an arithmetic number, because the mean of its divisors is an integer number (4789620565128).

Almost surely, 2211220212212123 is an apocalyptic number.

211220212212123 is a deficient number, since it is larger than the sum of its proper divisors (95315503956069).

211220212212123 is a wasteful number, since it uses less digits than its factorization.

211220212212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856124.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 211220212212123 its reverse (321212212022112), we get a palindrome (532432424234235).

The spelling of 211220212212123 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 17 51 83 101 173 249 303 519 1411 1717 2941 4233 5151 8383 8823 14359 17473 25149 43077 52419 142511 244103 297041 427533 732309 891123 1450259 2855747 4350777 8567241 24654403 48547699 73963209 145643097 237027001 288430447 494044231 711081003 865291341 1482132693 4029459017 4903317599 8398751927 12088377051 14709952797 23939727101 25196255781 41005671173 49898467331 71819181303 123017013519 149695401993 406975360717 697096409941 848273944627 1220926082151 2091289229823 2544821833881 4141572788473 12424718365419 70406737404041 211220212212123