Search a number
-
+
20121131113 is a prime number
BaseRepresentation
bin10010101111010100…
…000001100001101001
31220221021110100220021
4102233110001201221
5312202002143423
613124333400441
71311422535556
oct225724014151
956837410807
1020121131113
118595943686
123a96639121
131b88809655
14d8c417a2d
157cb6e695d
hex4af501869

20121131113 has 2 divisors, whose sum is σ = 20121131114. Its totient is φ = 20121131112.

The previous prime is 20121131111. The next prime is 20121131141. The reversal of 20121131113 is 31113112102.

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., 19894538304 + 226592809 = 141048^2 + 15053^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121131113 - 21 = 20121131111 is a prime.

Together with 20121131111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20121131111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060565556 + 10060565557.

It is an arithmetic number, because the mean of its divisors is an integer number (10060565557).

Almost surely, 220121131113 is an apocalyptic number.

It is an amenable number.

20121131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121131113 is an equidigital number, since it uses as much as digits as its factorization.

20121131113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 20121131113 its reverse (31113112102), we get a palindrome (51234243215).

It can be divided in two parts, 201211 and 31113, that added together give a square (232324 = 4822).

The spelling of 20121131113 in words is "twenty billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred thirteen".