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22100023201311 = 32111759222564863
BaseRepresentation
bin1010000011001100100000…
…00010000100111000011111
32220020202000121121110002100
411001212100002010320133
510344041321414420221
6115000335511300143
74440450114506526
oct501462002047037
986222017543070
1022100023201311
117050626a50460
12258b17107a653
13c4403c0bc113
1456590ac8b4bd
15284d14132926
hex141990084e1f

22100023201311 has 48 divisors (see below), whose sum is σ = 37497728286720. Its totient is φ = 12392411516160.

The previous prime is 22100023201309. The next prime is 22100023201339. The reversal of 22100023201311 is 11310232000122.

22100023201311 is a `hidden beast` number, since 2 + 210 + 0 + 0 + 2 + 320 + 131 + 1 = 666.

It is not a de Polignac number, because 22100023201311 - 21 = 22100023201309 is a prime.

It is a super-2 number, since 2×221000232013112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100023241311) 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 47 ways as a sum of consecutive naturals, for example, 111183135 + ... + 111381728.

It is an arithmetic number, because the mean of its divisors is an integer number (781202672640).

Almost surely, 222100023201311 is an apocalyptic number.

22100023201311 is a deficient number, since it is larger than the sum of its proper divisors (15397705085409).

22100023201311 is a wasteful number, since it uses less digits than its factorization.

22100023201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222564956 (or 222564953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22100023201311 its reverse (11310232000122), we get a palindrome (33410255201433).

The spelling of 22100023201311 in words is "twenty-two trillion, one hundred billion, twenty-three million, two hundred one thousand, three hundred eleven".

Divisors: 1 3 9 11 17 33 51 59 99 153 177 187 531 561 649 1003 1683 1947 3009 5841 9027 11033 33099 99297 222564863 667694589 2003083767 2448213493 3783602671 7344640479 11350808013 13131326917 22033921437 34052424039 39393980751 41619629381 118181942253 124858888143 144444596087 223232557589 374576664429 433333788261 669697672767 1300001364783 2009093018301 2455558133479 7366674400437 22100023201311