Search a number
-
+
20111211221101 = 7111321958378919
BaseRepresentation
bin1001001001010100000011…
…00110011101000001101101
32122012121112212222220000121
410210222001212131001231
510114000230033033401
6110434543552324541
74143662363554120
oct444520146350155
978177485886017
1020111211221101
116454131488520
12230982bb43751
13b2b62c703700
144d75602523b7
1524d213483ca1
hex124a8199d06d

20111211221101 has 48 divisors (see below), whose sum is σ = 27152561111040. Its totient is φ = 14464684503360.

The previous prime is 20111211221081. The next prime is 20111211221113. The reversal of 20111211221101 is 10112211211102.

It is not a de Polignac number, because 20111211221101 - 213 = 20111211212909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111211221191) 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, 254794120 + ... + 254873038.

It is an arithmetic number, because the mean of its divisors is an integer number (565678356480).

Almost surely, 220111211221101 is an apocalyptic number.

It is an amenable number.

20111211221101 is a deficient number, since it is larger than the sum of its proper divisors (7041349889939).

20111211221101 is a wasteful number, since it uses less digits than its factorization.

20111211221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98546 (or 98533 counting only the distinct ones).

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

Adding to 20111211221101 its reverse (10112211211102), we get a palindrome (30223422432203).

Subtracting from 20111211221101 its reverse (10112211211102), we obtain a palindrome (9999000009999).

The spelling of 20111211221101 in words is "twenty trillion, one hundred eleven billion, two hundred eleven million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 13013 19583 78919 137081 215413 254579 552433 868109 1025947 1507891 1782053 2800369 3309527 6076763 7181629 11285417 13337311 19602583 23166689 36404797 78997919 93361177 146710421 254833579 1026972947 1545470777 10818295439 17000178547 20091120101 119001249829 140637840707 221002321111 261184561313 1547016247777 1828291929191 2873030174443 20111211221101