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211222212101201 = 7174122713896329
BaseRepresentation
bin110000000001101100000000…
…111010111100010001010001
31000200212122110010120002000002
4300001230000322330101101
5210141131042244214301
62025122051125335345
762330205215301530
oct6001540072742121
91020778403502002
10211222212101201
11613359231a7894
121b834343567555
1390b2227787442
143a232d1270317
151964593c4616b
hexc01b00ebc451

211222212101201 has 48 divisors (see below), whose sum is σ = 262949534277120. Its totient is φ = 165628227686400.

The previous prime is 211222212101189. The next prime is 211222212101279. The reversal of 211222212101201 is 102101212222112.

It is a de Polignac number, because none of the positive numbers 2k-211222212101201 is a prime.

It is a super-2 number, since 2×2112222121012012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222212101501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52262405 + ... + 56158733.

It is an arithmetic number, because the mean of its divisors is an integer number (5478115297440).

Almost surely, 2211222212101201 is an apocalyptic number.

It is an amenable number.

211222212101201 is a deficient number, since it is larger than the sum of its proper divisors (51727322175919).

211222212101201 is a wasteful number, since it uses less digits than its factorization.

211222212101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896706 (or 3896665 counting only the distinct ones).

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

Adding to 211222212101201 its reverse (102101212222112), we get a palindrome (313323424323313).

The spelling of 211222212101201 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twelve million, one hundred one thousand, two hundred one".

Divisors: 1 7 17 41 119 271 287 697 1681 1897 4607 4879 11111 11767 28577 32249 77777 188887 200039 455551 1322209 3188857 3896329 7744367 27274303 54210569 66237593 159749489 463663151 1055905159 1118246423 2715741313 6549729049 7391336113 17950387703 19010189191 43292111519 45848103343 111345393833 125652713921 303044780633 735965895823 779417756831 1774976572279 5151761270761 12424836005953 30174601728743 211222212101201