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11200220110211 = 1129491508714057
BaseRepresentation
bin1010001011111100000100…
…1001000001110110000011
31110122201201121010010020212
42202333001021001312003
52432001022322011321
635453150551224335
72234121616063136
oct242770111016603
943581647103225
1011200220110211
113628a94299180
12130a8170780ab
1363323a21bb52
142aa14499221d
1514652410b55b
hexa2fc1241d83

11200220110211 has 32 divisors (see below), whose sum is σ = 12668880660480. Its totient is φ = 9808265555200.

The previous prime is 11200220110151. The next prime is 11200220110271. The reversal of 11200220110211 is 11201102200211.

It is an interprime number because it is at equal distance from previous prime (11200220110151) and next prime (11200220110271).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11200220110211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11200220110271) 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 31 ways as a sum of consecutive naturals, for example, 796764695 + ... + 796778751.

It is an arithmetic number, because the mean of its divisors is an integer number (395902520640).

Almost surely, 211200220110211 is an apocalyptic number.

11200220110211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11200220110211 is a deficient number, since it is larger than the sum of its proper divisors (1468660550269).

11200220110211 is a wasteful number, since it uses less digits than its factorization.

11200220110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19675.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11200220110211 its reverse (11201102200211), we get a palindrome (22401322310422).

Subtracting 11200220110211 from its reverse (11201102200211), we obtain a square (882090000 = 297002).

The spelling of 11200220110211 in words is "eleven trillion, two hundred billion, two hundred twenty million, one hundred ten thousand, two hundred eleven".

Divisors: 1 11 29 319 491 5087 5401 14057 14239 55957 147523 154627 156629 407653 1622753 2497717 4484183 6901987 27474887 71507959 72433793 75921857 200157623 786587549 796771723 2073730811 2201733853 22811038921 35110407869 386214486559 1018201828201 11200220110211