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11221100121 = 37111761139337
BaseRepresentation
bin10100111001101010…
…00110011001011001
31001222000110221120210
422130311012121121
5140440100200441
65053243041333
7545032530420
oct123465063131
931860427523
1011221100121
114839022670
122211b10249
13109a98ba1a
147863c62b7
1545a1b5616
hex29cd46659

11221100121 has 128 divisors (see below), whose sum is σ = 20278702080. Its totient is φ = 5341593600.

The previous prime is 11221100081. The next prime is 11221100141. The reversal of 11221100121 is 12100112211.

11221100121 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 11221100121 - 211 = 11221098073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11221100097 and 11221100106.

It is not an unprimeable number, because it can be changed into a prime (11221100141) 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 127 ways as a sum of consecutive naturals, for example, 33296865 + ... + 33297201.

It is an arithmetic number, because the mean of its divisors is an integer number (158427360).

Almost surely, 211221100121 is an apocalyptic number.

11221100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221100121 is a deficient number, since it is larger than the sum of its proper divisors (9057601959).

11221100121 is a wasteful number, since it uses less digits than its factorization.

11221100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221100121 its reverse (12100112211), we get a palindrome (23321212332).

The spelling of 11221100121 in words is "eleven billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 7 11 17 21 33 51 61 77 119 139 183 187 231 337 357 417 427 561 671 973 1011 1037 1281 1309 1529 2013 2359 2363 2919 3111 3707 3927 4587 4697 5729 7077 7089 7259 8479 10703 11121 11407 14091 16541 17187 20557 21777 25437 25949 25993 32109 34221 40103 46843 49623 59353 61671 63019 77847 77979 79849 93269 120309 140529 143899 144143 178059 181951 189057 226127 239547 279807 327901 349469 431697 432429 441133 515273 545853 652883 678381 796331 983703 1009001 1048407 1323399 1545819 1582889 1585573 1958649 2388993 2446283 2857423 3027003 3606911 3844159 4748667 4756719 5574317 7338849 8572269 8759641 10820733 11099011 11532477 16722951 20001961 26278923 26909113 31431653 33297033 48576191 60005883 61317487 80727339 94294959 145728573 183952461 220021571 340033337 534338101 660064713 1020100011 1603014303 3740366707 11221100121