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22002132105 = 3251721691821
BaseRepresentation
bin10100011111011011…
…011110010010001001
32002210100220010011200
4110133123132102021
5330030021211410
614035130014413
71406143015512
oct243733362211
962710803150
1022002132105
1193706a2558
124320577409
1320c841a5a5
1410ca177a09
1588b9003c0
hex51f6de489

22002132105 has 36 divisors (see below), whose sum is σ = 40512369612. Its totient is φ = 11044200960.

The previous prime is 22002132091. The next prime is 22002132109. The reversal of 22002132105 is 50123120022.

It can be written as a sum of positive squares in 6 ways, for example, as 4454361081 + 17547771024 = 66741^2 + 132468^2 .

It is not a de Polignac number, because 22002132105 - 26 = 22002132041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22002132109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832906 + ... + 858915.

Almost surely, 222002132105 is an apocalyptic number.

It is an amenable number.

22002132105 is a deficient number, since it is larger than the sum of its proper divisors (18510237507).

22002132105 is a wasteful number, since it uses less digits than its factorization.

22002132105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691866 (or 1691846 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 22002132105 its reverse (50123120022), we get a palindrome (72125252127).

The spelling of 22002132105 in words is "twenty-two billion, two million, one hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 289 765 867 1445 2601 4335 13005 1691821 5075463 8459105 15226389 25377315 28760957 76131945 86282871 143804785 258848613 431414355 488936269 1294243065 1466808807 2444681345 4400426421 7334044035 22002132105