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21200120110001 = 7221124183910141
BaseRepresentation
bin1001101001000000010011…
…01000001101101110110001
32210001201012211011211120202
410310200021220031232301
510234320321222010001
6113031111205044545
74315441511444600
oct464401150155661
983051184154522
1021200120110001
116833a14130598
1224648853b6755
13baa216733741
1453413c6cda37
1526b6e539996b
hex134809a0dbb1

21200120110001 has 48 divisors (see below), whose sum is σ = 24913169043840. Its totient is φ = 17987126976000.

The previous prime is 21200120109989. The next prime is 21200120110019. The reversal of 21200120110001 is 10001102100212.

It is not a de Polignac number, because 21200120110001 - 214 = 21200120093617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21200120110601) 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 47 ways as a sum of consecutive naturals, for example, 2090530391 + ... + 2090540531.

It is an arithmetic number, because the mean of its divisors is an integer number (519024355080).

Almost surely, 221200120110001 is an apocalyptic number.

It is an amenable number.

21200120110001 is a deficient number, since it is larger than the sum of its proper divisors (3713048933839).

21200120110001 is a wasteful number, since it uses less digits than its factorization.

21200120110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446 (or 11439 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21200120110001 its reverse (10001102100212), we get a palindrome (31201222210213).

The spelling of 21200120110001 in words is "twenty-one trillion, two hundred billion, one hundred twenty million, one hundred ten thousand, one".

Divisors: 1 7 49 211 241 839 1477 1687 5873 10141 10339 11809 41111 50851 70987 177029 202199 355957 496909 1239203 1415393 2139751 2443981 2491699 8508299 8674421 9907751 14978257 17107867 42663989 59558093 104847799 119755069 298647923 416906651 515679991 1795251089 2050500059 2090535461 3609759937 12566757623 14353500413 25268319559 87967303361 100474502891 432655512449 3028588587143 21200120110001