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20011221105 = 3543612292221
BaseRepresentation
bin10010101000110000…
…110000000001110001
31220122121122100201020
4102220300300001301
5311440333033410
613105405530053
71305616400331
oct225060600161
956577570636
1020011221105
1185398a3667
123a65873929
131b6bb06245
14d7b9a70c1
157c1c35a70
hex4a8c30071

20011221105 has 64 divisors (see below), whose sum is σ = 33460120320. Its totient is φ = 10204185600.

The previous prime is 20011221089. The next prime is 20011221107. The reversal of 20011221105 is 50112211002.

It is not a de Polignac number, because 20011221105 - 24 = 20011221089 is a prime.

It is a super-4 number, since 4×200112211054 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20011221107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9008895 + ... + 9011115.

It is an arithmetic number, because the mean of its divisors is an integer number (522814380).

Almost surely, 220011221105 is an apocalyptic number.

It is an amenable number.

20011221105 is a deficient number, since it is larger than the sum of its proper divisors (13448899215).

20011221105 is a wasteful number, since it uses less digits than its factorization.

20011221105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 20011221105 its reverse (50112211002), we get a palindrome (70123432107).

The spelling of 20011221105 in words is "twenty billion, eleven million, two hundred twenty-one thousand, one hundred five".

Divisors: 1 3 5 15 43 61 129 183 215 229 305 645 687 915 1145 2221 2623 3435 6663 7869 9847 11105 13115 13969 29541 33315 39345 41907 49235 69845 95503 135481 147705 209535 286509 406443 477515 508609 600667 677405 1432545 1525827 1802001 2032215 2543045 3003335 5825683 7629135 9010005 17477049 21870187 29128415 31025149 65610561 87385245 93075447 109350935 155125745 328052805 465377235 1334081407 4002244221 6670407035 20011221105