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11010220011 = 32729131179257
BaseRepresentation
bin10100100000100001…
…01001111111101011
31001102022200010110100
422100100221333223
5140022104020021
65020311120443
7536562216540
oct122020517753
931368603410
1011010220011
11473aa8928a
122173373123
1310660953ab
147663b0bc7
1544690c626
hex290429feb

11010220011 has 96 divisors (see below), whose sum is σ = 19125849600. Its totient is φ = 5971230720.

The previous prime is 11010219977. The next prime is 11010220027. The reversal of 11010220011 is 11002201011.

It is a happy number.

11010220011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11010220011 - 211 = 11010217963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11010219975 and 11010220002.

It is not an unprimeable number, because it can be changed into a prime (11010220211) 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, 42841195 + ... + 42841451.

It is an arithmetic number, because the mean of its divisors is an integer number (199227600).

Almost surely, 211010220011 is an apocalyptic number.

11010220011 is a deficient number, since it is larger than the sum of its proper divisors (8115629589).

11010220011 is a wasteful number, since it uses less digits than its factorization.

11010220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11010220011 its reverse (11002201011), we get a palindrome (22012421022).

The spelling of 11010220011 in words is "eleven billion, ten million, two hundred twenty thousand, eleven".

Divisors: 1 3 7 9 21 29 63 87 131 179 203 257 261 393 537 609 771 917 1179 1253 1611 1799 1827 2313 2751 3759 3799 5191 5397 7453 8253 11277 11397 15573 16191 22359 23449 26593 33667 34191 36337 46003 46719 52171 67077 70347 79779 101001 109011 138009 156513 164143 211041 235669 239337 303003 322021 327033 414027 469539 492429 680021 707007 966063 976343 1334087 1477287 2040063 2121021 2898189 2929029 4002261 4760147 6026393 6120189 6834401 8787087 9338609 12006783 14280441 18079179 20503203 28015827 42184751 42841323 54237537 61509609 84047481 126554253 174765397 379662759 524296191 1223357779 1572888573 3670073337 11010220011