Search a number
-
+
200020021121 is a prime number
BaseRepresentation
bin1011101001001000011…
…1110100111110000001
3201010021201221212022102
42322102013310332001
511234120111133441
6231515443120145
720310453061424
oct2722207647601
9633251855272
10200020021121
11779120a6388
1232922373055
1315b2850c0ab
149976a139bb
15530a0cb69b
hex2e921f4f81

200020021121 has 2 divisors, whose sum is σ = 200020021122. Its totient is φ = 200020021120.

The previous prime is 200020021099. The next prime is 200020021147. The reversal of 200020021121 is 121120020002.

It is a happy number.

200020021121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195089172721 + 4930848400 = 441689^2 + 70220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200020021121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (200020021151) 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, 100010010560 + 100010010561.

It is an arithmetic number, because the mean of its divisors is an integer number (100010010561).

Almost surely, 2200020021121 is an apocalyptic number.

It is an amenable number.

200020021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

200020021121 is an equidigital number, since it uses as much as digits as its factorization.

200020021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200020021121 its reverse (121120020002), we get a palindrome (321140041123).

The spelling of 200020021121 in words is "two hundred billion, twenty million, twenty-one thousand, one hundred twenty-one".