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2000233121 is a prime number
BaseRepresentation
bin111011100111001…
…0010001010100001
312011101210101000012
41313032102022201
513044024424441
6530251534305
7100365462305
oct16716221241
95141711005
102000233121
11937096827
12479a5a395
1325b5294c3
1414d919d05
15ba90b9eb
hex773922a1

2000233121 has 2 divisors, whose sum is σ = 2000233122. Its totient is φ = 2000233120.

The previous prime is 2000233063. The next prime is 2000233133. The reversal of 2000233121 is 1213320002.

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., 1880089600 + 120143521 = 43360^2 + 10961^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000233121 - 218 = 1999970977 is a prime.

It is a super-3 number, since 3×20002331213 (a number of 29 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 = 2000233096 and 2000233105.

It is not a weakly prime, because it can be changed into another prime (2000233171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000116560 + 1000116561.

It is an arithmetic number, because the mean of its divisors is an integer number (1000116561).

Almost surely, 22000233121 is an apocalyptic number.

It is an amenable number.

2000233121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000233121 is an equidigital number, since it uses as much as digits as its factorization.

2000233121 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 14.

The square root of 2000233121 is about 44723.9658460651. The cubic root of 2000233121 is about 1259.9700003355.

Adding to 2000233121 its reverse (1213320002), we get a palindrome (3213553123).

The spelling of 2000233121 in words is "two billion, two hundred thirty-three thousand, one hundred twenty-one".