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203312212121 is a prime number
BaseRepresentation
bin1011110101011001011…
…0100010100010011001
3201102210011210111100102
42331112112202202121
511312340411241441
6233222250145145
720455160201054
oct2752626424231
9642704714312
10203312212121
1179251497197
12334a0a221b5
13162315b8bc5
149ba9d59a9b
15544e13a69b
hex2f565a2899

203312212121 has 2 divisors, whose sum is σ = 203312212122. Its totient is φ = 203312212120.

The previous prime is 203312212073. The next prime is 203312212133. The reversal of 203312212121 is 121212213302.

203312212121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144183481225 + 59128730896 = 379715^2 + 243164^2 .

It is a cyclic number.

It is not a de Polignac number, because 203312212121 - 222 = 203308017817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 203312212093 and 203312212102.

It is not a weakly prime, because it can be changed into another prime (203312212171) 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, 101656106060 + 101656106061.

It is an arithmetic number, because the mean of its divisors is an integer number (101656106061).

Almost surely, 2203312212121 is an apocalyptic number.

It is an amenable number.

203312212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

203312212121 is an equidigital number, since it uses as much as digits as its factorization.

203312212121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 203312212121 its reverse (121212213302), we get a palindrome (324524425423).

The spelling of 203312212121 in words is "two hundred three billion, three hundred twelve million, two hundred twelve thousand, one hundred twenty-one".