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211222022112101 = 711213232637131627
BaseRepresentation
bin110000000001101011110101…
…100110001100001101100101
31000200212121221220001121221202
4300001223311212030031211
5210141130200130041401
62025122020221252245
762330200420360460
oct6001536546141545
91020777856047852
10211222022112101
1161335835a32200
121b8342aba04085
1390b21c72c6960
143a232b3d362d7
15196458221806b
hexc01af598c365

211222022112101 has 96 divisors (see below), whose sum is σ = 298191804094464. Its totient is φ = 145312260508800.

The previous prime is 211222022112083. The next prime is 211222022112109. The reversal of 211222022112101 is 101211220222112.

It is not a de Polignac number, because 211222022112101 - 214 = 211222022095717 is a prime.

It is a super-2 number, since 2×2112220221121012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222022112109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6678519050 + ... + 6678550676.

It is an arithmetic number, because the mean of its divisors is an integer number (3106164625984).

Almost surely, 2211222022112101 is an apocalyptic number.

It is an amenable number.

211222022112101 is a deficient number, since it is larger than the sum of its proper divisors (86969781982363).

211222022112101 is a wasteful number, since it uses less digits than its factorization.

211222022112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58063 (or 58052 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211222022112101 its reverse (101211220222112), we get a palindrome (312433242334213).

The spelling of 211222022112101 in words is "two hundred eleven trillion, two hundred twenty-two billion, twenty-two million, one hundred twelve thousand, one hundred one".

Divisors: 1 7 11 13 23 77 91 121 143 161 253 299 847 1001 1573 1771 2093 2783 3289 11011 19481 23023 26371 31627 36179 184597 221389 253253 290081 342823 347897 411151 606533 727421 2030567 2399761 2435279 2878057 3190891 3771053 3826867 4245731 4522661 5091947 6671863 7884929 8001631 9456473 22336237 26397371 26788069 31658627 41481583 46703041 49749271 55194503 56011417 66195311 73390493 86734219 88017941 104021203 290371081 348244897 513733451 607139533 616125587 728148421 834035617 954076409 1144233233 5838249319 6678534863 8009632631 9174391787 10842463021 19182819191 64220742509 75897241147 100918309657 119267093231 134279734337 211011011101 249376649483 706428167599 834869652617 1311938025541 1477077077707 1745636546381 2321121122111 2743143144313 9183566178787 16247847854777 19202002010191 30174574587443 211222022112101