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1001001100011 = 311238316139851
BaseRepresentation
bin11101001000100000101…
…00001010001011101011
310112200202111011120112020
432210100110022023223
5112400022240200021
62043504211315523
7132214511650653
oct16442024121353
93480674146466
101001001100011
11356582030180
121420012abba3
13735177cc603
143663d39d363
151b0895b37c6
hexe91050a2eb

1001001100011 has 64 divisors (see below), whose sum is σ = 1538720354304. Its totient is φ = 572885456000.

The previous prime is 1001001100003. The next prime is 1001001100027. The reversal of 1001001100011 is 1100011001001.

It is not a de Polignac number, because 1001001100011 - 23 = 1001001100003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001001100031) 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 63 ways as a sum of consecutive naturals, for example, 101609236 + ... + 101619086.

It is an arithmetic number, because the mean of its divisors is an integer number (24042505536).

Almost surely, 21001001100011 is an apocalyptic number.

1001001100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001001100011 is a deficient number, since it is larger than the sum of its proper divisors (537719254293).

1001001100011 is a wasteful number, since it uses less digits than its factorization.

1001001100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001001100011 its reverse (1100011001001), we get a palindrome (2101012101012).

The spelling of 1001001100011 in words is "one trillion, one billion, one million, one hundred thousand, eleven".

Divisors: 1 3 11 23 33 69 83 249 253 759 913 1613 1909 2739 4839 5727 9851 17743 20999 29553 37099 53229 62997 108361 111297 133879 226573 325083 401637 408089 679719 817633 1224267 1472669 2452899 2492303 3079217 4418007 7476909 8993963 9237651 15889663 18805559 26981889 33871387 47668989 56416677 101614161 174786293 206861149 365462249 524358879 620583447 1096386747 1318842029 3956526087 4020084739 12060254217 14507262319 30333366667 43521786957 91000100001 333667033337 1001001100011