Search a number
-
+
202000133021 is a prime number
BaseRepresentation
bin1011110000100000100…
…1010110101110011101
3201022101201212222012012
42330020021112232131
511302144013224041
6232444135521005
720410515541421
oct2741011265635
9638351788165
10202000133021
11787388997a5
1233195529165
1316082811c3b
149ac39b2b81
1553c3d613eb
hex2f08256b9d

202000133021 has 2 divisors, whose sum is σ = 202000133022. Its totient is φ = 202000133020.

The previous prime is 202000133009. The next prime is 202000133029. The reversal of 202000133021 is 120331000202.

It is a happy number.

202000133021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177337000996 + 24663132025 = 421114^2 + 157045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202000133021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202000132987 and 202000133005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202000133029) 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, 101000066510 + 101000066511.

It is an arithmetic number, because the mean of its divisors is an integer number (101000066511).

Almost surely, 2202000133021 is an apocalyptic number.

It is an amenable number.

202000133021 is a deficient number, since it is larger than the sum of its proper divisors (1).

202000133021 is an equidigital number, since it uses as much as digits as its factorization.

202000133021 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.

Adding to 202000133021 its reverse (120331000202), we get a palindrome (322331133223).

The spelling of 202000133021 in words is "two hundred two billion, one hundred thirty-three thousand, twenty-one".