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211221211222201 = 5383359133748561
BaseRepresentation
bin110000000001101011000101…
…010000111001000010111001
31000200212112212101020011010111
4300001223011100321002321
5210141122020033102301
62025121403533144321
762330141343050125
oct6001530520710271
91020775771204114
10211221211222201
116133545a233664
121b83410432b0a1
1390b20c830014b
143a23238374585
151964535e3e551
hexc01ac54390b9

211221211222201 has 16 divisors (see below), whose sum is σ = 218406051803520. Its totient is φ = 204168781822720.

The previous prime is 211221211222141. The next prime is 211221211222207. The reversal of 211221211222201 is 102222112122112.

It is a cyclic number.

It is not a de Polignac number, because 211221211222201 - 229 = 211220674351289 is a prime.

It is a super-2 number, since 2×2112212112222012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211221211222207) 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 15 ways as a sum of consecutive naturals, for example, 65295040 + ... + 68453521.

It is an arithmetic number, because the mean of its divisors is an integer number (13650378237720).

Almost surely, 2211221211222201 is an apocalyptic number.

It is an amenable number.

211221211222201 is a deficient number, since it is larger than the sum of its proper divisors (7184840581319).

211221211222201 is a wasteful number, since it uses less digits than its factorization.

211221211222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133749056.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 211221211222201 its reverse (102222112122112), we get a palindrome (313443323344313).

It can be divided in two parts, 21122121 and 1222201, that added together give a palindrome (22344322).

The spelling of 211221211222201 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 53 83 359 4399 19027 29797 1579241 133748561 7088673733 11101130563 48015733399 588359919839 2544833870147 3985305872117 211221211222201