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20130122021 is a prime number
BaseRepresentation
bin10010101111110110…
…010100100100100101
31220221220101011002212
4102233312110210211
5312211302401041
613125254213205
71311562133252
oct225766244445
956856334085
1020130122021
11859aa24689
123a99654205
131b8a636b09
14d8d6b8429
157cc3c08eb
hex4afd94925

20130122021 has 2 divisors, whose sum is σ = 20130122022. Its totient is φ = 20130122020.

The previous prime is 20130121969. The next prime is 20130122063. The reversal of 20130122021 is 12022103102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17466529921 + 2663592100 = 132161^2 + 51610^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20130122021 is a prime.

It is a super-3 number, since 3×201301220213 (a number of 32 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20130121987 and 20130122005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20130121021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065061010 + 10065061011.

It is an arithmetic number, because the mean of its divisors is an integer number (10065061011).

Almost surely, 220130122021 is an apocalyptic number.

It is an amenable number.

20130122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

20130122021 is an equidigital number, since it uses as much as digits as its factorization.

20130122021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20130122021 its reverse (12022103102), we get a palindrome (32152225123).

It can be divided in two parts, 201301 and 22021, that added together give a palindrome (223322).

The spelling of 20130122021 in words is "twenty billion, one hundred thirty million, one hundred twenty-two thousand, twenty-one".