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211222111101021 = 32293721872435653
BaseRepresentation
bin110000000001101011111010…
…111001101010000001011101
31000200212122012002111201210200
4300001223322321222001131
5210141130340420213041
62025122033120454113
762330202550642416
oct6001537271520135
91020778162451720
10211222111101021
1161335881192969
121b83431577a339
1390b220c883617
143a232c1a9c80d
151964589e451b6
hexc01afae6a05d

211222111101021 has 24 divisors (see below), whose sum is σ = 324149496392280. Its totient is φ = 132284490823296.

The previous prime is 211222111100989. The next prime is 211222111101041. The reversal of 211222111101021 is 120101111222112.

It is a happy number.

211222111101021 is a `hidden beast` number, since 211 + 222 + 111 + 101 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115511206692996 + 95710904408025 = 10747614^2 + 9783195^2 .

It is not a de Polignac number, because 211222111101021 - 25 = 211222111100989 is a prime.

It is a super-2 number, since 2×2112221111010212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222111100985 and 211222111101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222111101041) 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 23 ways as a sum of consecutive naturals, for example, 10936208170 + ... + 10936227483.

It is an arithmetic number, because the mean of its divisors is an integer number (13506229016345).

Almost surely, 2211222111101021 is an apocalyptic number.

It is an amenable number.

211222111101021 is a deficient number, since it is larger than the sum of its proper divisors (112927385291259).

211222111101021 is a wasteful number, since it uses less digits than its factorization.

211222111101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21872435725 (or 21872435722 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211222111101021 its reverse (120101111222112), we get a palindrome (331323222323133).

The spelling of 211222111101021 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 21872435653 65617306959 196851920877 634300633937 809280119161 1902901901811 2427840357483 5708705705433 7283521072449 23469123455669 70407370367007 211222111101021