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20110101011 = 7111319329101
BaseRepresentation
bin10010101110101001…
…111100101000010011
31220220111200222102222
4102232221330220103
5312141141213021
613123301131255
71311230016050
oct225651745023
956814628388
1020110101011
11858a69a5a0
123a929b9b2b
131b86446c70
14d8ab86027
157ca7686ab
hex4aea7ca13

20110101011 has 128 divisors (see below), whose sum is σ = 29775513600. Its totient is φ = 13099968000.

The previous prime is 20110100993. The next prime is 20110101061. The reversal of 20110101011 is 11010101102.

It is a happy number.

It is not a de Polignac number, because 20110101011 - 218 = 20109838867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20110101011.

It is not an unprimeable number, because it can be changed into a prime (20110101061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199109861 + ... + 199109961.

It is an arithmetic number, because the mean of its divisors is an integer number (232621200).

Almost surely, 220110101011 is an apocalyptic number.

20110101011 is a deficient number, since it is larger than the sum of its proper divisors (9665412589).

20110101011 is a wasteful number, since it uses less digits than its factorization.

20110101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20110101011 its reverse (11010101102), we get a palindrome (31120202113).

Subtracting from 20110101011 its reverse (11010101102), we obtain a palindrome (9099999909).

It can be divided in two parts, 20110 and 101011, that added together give a palindrome (121121).

The spelling of 20110101011 in words is "twenty billion, one hundred ten million, one hundred one thousand, eleven".

Divisors: 1 7 11 13 19 29 77 91 101 133 143 203 209 247 319 361 377 551 707 1001 1111 1313 1463 1729 1919 2233 2527 2639 2717 2929 3857 3971 4147 4693 6061 6859 7163 7777 9191 10469 13433 14443 19019 20503 21109 24947 27797 29029 32219 32851 36461 38077 42427 48013 50141 51623 55651 73283 75449 78793 89167 101101 115159 136097 147763 174629 198911 225533 255227 266539 274417 361361 389557 401071 418847 473993 528143 551551 612161 624169 692759 723463 806113 952679 980837 1057369 1392377 1497067 1920919 2188021 2585843 2807497 2931929 3317951 4285127 4849313 5064241 5213923 6865859 7401583 7620349 7958093 9005867 10479469 11631059 13745797 15316147 18100901 20090011 28444273 36497461 53342443 55706651 63041069 81417413 96220579 99064537 140630077 151203767 199109911 220990121 261170143 693451759 1058426369 1546930847 1828191001 2872871573 20110101011