Search a number
-
+
202003020101 is a prime number
BaseRepresentation
bin1011110000100001010…
…0010111100101000101
3201022101221022122112002
42330020110113211011
511302200233120401
6232444321435045
720410552224521
oct2741024274505
9638357278462
10202003020101
117873a490913
123319649ba85
13160832b307c
149ac4124d81
1553c4231a6b
hex2f08517945

202003020101 has 2 divisors, whose sum is σ = 202003020102. Its totient is φ = 202003020100.

The previous prime is 202003020073. The next prime is 202003020113. The reversal of 202003020101 is 101020300202.

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., 159719323201 + 42283696900 = 399649^2 + 205630^2 .

It is a cyclic number.

It is not a de Polignac number, because 202003020101 - 210 = 202003019077 is a prime.

It is a super-3 number, since 3×2020030201013 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202003020701) 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, 101001510050 + 101001510051.

It is an arithmetic number, because the mean of its divisors is an integer number (101001510051).

Almost surely, 2202003020101 is an apocalyptic number.

It is an amenable number.

202003020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202003020101 is an equidigital number, since it uses as much as digits as its factorization.

202003020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 202003020101 its reverse (101020300202), we get a palindrome (303023320303).

The spelling of 202003020101 in words is "two hundred two billion, three million, twenty thousand, one hundred one".