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20121031121 is a prime number
BaseRepresentation
bin10010101111010011…
…101001000111010001
31220221021021021201212
4102233103221013101
5312201440443441
613124331305505
71311421641212
oct225723510721
956837237655
1020121031121
118595885544
123a965ab295
131b887a2c99
14d8c3cd409
157cb6c6eeb
hex4af4e91d1

20121031121 has 2 divisors, whose sum is σ = 20121031122. Its totient is φ = 20121031120.

The previous prime is 20121031093. The next prime is 20121031123. The reversal of 20121031121 is 12113012102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12693176896 + 7427854225 = 112664^2 + 86185^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121031121 - 26 = 20121031057 is a prime.

Together with 20121031123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121031096 and 20121031105.

It is not a weakly prime, because it can be changed into another prime (20121031123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060515560 + 10060515561.

It is an arithmetic number, because the mean of its divisors is an integer number (10060515561).

Almost surely, 220121031121 is an apocalyptic number.

It is an amenable number.

20121031121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121031121 is an equidigital number, since it uses as much as digits as its factorization.

20121031121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20121031121 its reverse (12113012102), we get a palindrome (32234043223).

The spelling of 20121031121 in words is "twenty billion, one hundred twenty-one million, thirty-one thousand, one hundred twenty-one".