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20031312121 is a prime number
BaseRepresentation
bin10010101001111101…
…011001000011111001
31220201000110002101221
4102221331121003321
5312011003441441
613111404312041
71306252225612
oct225175310371
956630402357
1020031312121
11854a176307
123a70542621
131b7301bc12
14d80516c09
157c38a38d1
hex4a9f590f9

20031312121 has 2 divisors, whose sum is σ = 20031312122. Its totient is φ = 20031312120.

The previous prime is 20031312107. The next prime is 20031312131. The reversal of 20031312121 is 12121313002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19582084096 + 449228025 = 139936^2 + 21195^2 .

It is a cyclic number.

It is not a de Polignac number, because 20031312121 - 25 = 20031312089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20031312095 and 20031312104.

It is not a weakly prime, because it can be changed into another prime (20031312131) 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 as a sum of consecutive naturals, namely, 10015656060 + 10015656061.

It is an arithmetic number, because the mean of its divisors is an integer number (10015656061).

Almost surely, 220031312121 is an apocalyptic number.

It is an amenable number.

20031312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20031312121 is an equidigital number, since it uses as much as digits as its factorization.

20031312121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20031312121 its reverse (12121313002), we get a palindrome (32152625123).

The spelling of 20031312121 in words is "twenty billion, thirty-one million, three hundred twelve thousand, one hundred twenty-one".