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211222022001011 = 71923413423149199
BaseRepresentation
bin110000000001101011110101…
…100101110001000101110011
31000200212121221212211222120022
4300001223311211301011303
5210141130200113013021
62025122020215034055
762330200416415550
oct6001536545610563
91020777855758508
10211222022001011
116133583596679a
121b8342ab96b92b
1390b21c7288218
143a232b3d07a27
1519645821e51ab
hexc01af5971173

211222022001011 has 64 divisors (see below), whose sum is σ = 271630098432000. Its totient is φ = 160051878201600.

The previous prime is 211222022000971. The next prime is 211222022001017. The reversal of 211222022001011 is 110100220222112.

It is not a de Polignac number, because 211222022001011 - 230 = 211220948259187 is a prime.

It is a super-2 number, since 2×2112220220010112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222022001017) 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, 4293193190 + ... + 4293242388.

It is an arithmetic number, because the mean of its divisors is an integer number (4244220288000).

Almost surely, 2211222022001011 is an apocalyptic number.

211222022001011 is a deficient number, since it is larger than the sum of its proper divisors (60408076430989).

211222022001011 is a wasteful number, since it uses less digits than its factorization.

211222022001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83520.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211222022001011 its reverse (110100220222112), we get a palindrome (321322242223123).

The spelling of 211222022001011 in words is "two hundred eleven trillion, two hundred twenty-two billion, twenty-two million, one thousand, eleven".

Divisors: 1 7 19 23 41 133 161 287 437 779 943 3059 5453 6601 17917 34231 49199 125419 239617 344393 650389 787313 934781 1131577 1403471 2017159 4552723 5511191 6543467 7921039 9824297 14120113 14958947 21499963 26665949 32279833 38326021 46394657 104712629 150499741 186661643 225958831 268282147 324762599 613316827 881498483 1684130969 4293217789 6170489381 11788916783 31998488411 38735012287 69049369729 223989418877 271145086009 483345588103 735965233453 1311938024851 1588135503767 5151756634171 9183566173957 11116948526369 30174574571573 211222022001011