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21001108033 is a prime number
BaseRepresentation
bin10011100011110000…
…110111101001000001
32000012121021211022001
4103203300313221001
5321002240424113
613351530344001
71342266321133
oct234360675101
960177254261
1021001108033
1189a763a334
1240a128b001
131c98c12259
141033241053
1582daba7dd
hex4e3c37a41

21001108033 has 2 divisors, whose sum is σ = 21001108034. Its totient is φ = 21001108032.

The previous prime is 21001108021. The next prime is 21001108043. The reversal of 21001108033 is 33080110012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15749497009 + 5251611024 = 125497^2 + 72468^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001108033 - 217 = 21000976961 is a prime.

It is a super-2 number, since 2×210011080332 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21001108033.

It is not a weakly prime, because it can be changed into another prime (21001108043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500554016 + 10500554017.

It is an arithmetic number, because the mean of its divisors is an integer number (10500554017).

Almost surely, 221001108033 is an apocalyptic number.

It is an amenable number.

21001108033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001108033 is an equidigital number, since it uses as much as digits as its factorization.

21001108033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 21001108033 its reverse (33080110012), we get a palindrome (54081218045).

The spelling of 21001108033 in words is "twenty-one billion, one million, one hundred eight thousand, thirty-three".