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22112112002211 = 3371125031922273
BaseRepresentation
bin1010000011100011000001…
…00101001100010010100011
32220021220020002211011101000
411001301200211030102203
510344241101133032321
6115010055232243043
74441355514563160
oct501614045142243
986256202734330
1022112112002211
11705576a844500
1225915856a0483
13c45217775b4a
145663365c3067
152852c0594826
hex141c6094c4a3

22112112002211 has 96 divisors (see below), whose sum is σ = 41233238645760. Its totient is φ = 11463968862720.

The previous prime is 22112112002209. The next prime is 22112112002261. The reversal of 22112112002211 is 11220021121122.

22112112002211 is a `hidden beast` number, since 2 + 211 + 211 + 20 + 0 + 221 + 1 = 666.

It is not a de Polignac number, because 22112112002211 - 21 = 22112112002209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22112112002261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10541971 + ... + 12464243.

It is an arithmetic number, because the mean of its divisors is an integer number (429512902560).

Almost surely, 222112112002211 is an apocalyptic number.

22112112002211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22112112002211 is a deficient number, since it is larger than the sum of its proper divisors (19121126643549).

22112112002211 is a wasteful number, since it uses less digits than its factorization.

22112112002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922814 (or 1922797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112112002211 its reverse (11220021121122), we get a palindrome (33332133123333).

The spelling of 22112112002211 in words is "twenty-two trillion, one hundred twelve billion, one hundred twelve million, two thousand, two hundred eleven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 121 189 231 297 363 503 693 847 1089 1509 2079 2541 3267 3521 4527 5533 7623 10563 13581 16599 22869 31689 38731 49797 60863 95067 116193 149391 182589 348579 426041 547767 1045737 1278123 1643301 1922273 3834369 5766819 11503107 13455911 17300457 21145003 40367733 51901371 63435009 121103199 148015021 190305027 232595033 363309597 444045063 570915081 697785099 966903319 1332135189 1628165231 2093355297 2900709957 3996405567 4884495693 6280065891 6768323233 8702129871 10635936509 14653487079 20304969699 26106389613 31907809527 43960461237 60914909097 74451555563 95723428581 116995301599 182744727291 223354666689 287170285743 350985904797 670064000067 818967111193 1052957714391 2010192000201 2456901333579 3158873143173 7370704000737 22112112002211