Search a number
-
+
20121221110037 is a prime number
BaseRepresentation
bin1001001001100110101100…
…01111001001100100010101
32122020120101111100221012212
410210303112033021210111
510114131230101010122
6110443321131123205
74144465421323565
oct444632617114425
978216344327185
1020121221110037
1164583a8837203
12230b7642a3505
13b2c566474008
144d7c2d82ada5
1524d5ec146ce2
hex124cd63c9915

20121221110037 has 2 divisors, whose sum is σ = 20121221110038. Its totient is φ = 20121221110036.

The previous prime is 20121221110019. The next prime is 20121221110121. The reversal of 20121221110037 is 73001112212102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18232976860081 + 1888244249956 = 4270009^2 + 1374134^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121221110037 - 244 = 2529035065621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121221109994 and 20121221110021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121221110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060610555018 + 10060610555019.

It is an arithmetic number, because the mean of its divisors is an integer number (10060610555019).

Almost surely, 220121221110037 is an apocalyptic number.

It is an amenable number.

20121221110037 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121221110037 is an equidigital number, since it uses as much as digits as its factorization.

20121221110037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 20121221110037 its reverse (73001112212102), we get a palindrome (93122333322139).

The spelling of 20121221110037 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred ten thousand, thirty-seven".