Search a number
-
+
202001311289 is a prime number
BaseRepresentation
bin1011110000100000110…
…1110110011000111001
3201022101211002211110202
42330020031312120321
511302144313430124
6232444221051545
720410531546541
oct2741015663071
9638354084422
10202001311289
1178739523a78
12331959b6bb5
1316082b3533b
149ac3bdc321
1553c3ee55ae
hex2f08376639

202001311289 has 2 divisors, whose sum is σ = 202001311290. Its totient is φ = 202001311288.

The previous prime is 202001311277. The next prime is 202001311313. The reversal of 202001311289 is 982113100202.

202001311289 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., 167178765625 + 34822545664 = 408875^2 + 186608^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202001311289 is a prime.

It is not a weakly prime, because it can be changed into another prime (202001311219) 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, 101000655644 + 101000655645.

It is an arithmetic number, because the mean of its divisors is an integer number (101000655645).

Almost surely, 2202001311289 is an apocalyptic number.

It is an amenable number.

202001311289 is a deficient number, since it is larger than the sum of its proper divisors (1).

202001311289 is an equidigital number, since it uses as much as digits as its factorization.

202001311289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

It can be divided in two parts, 2020013 and 11289, that added together give a palindrome (2031302).

The spelling of 202001311289 in words is "two hundred two billion, one million, three hundred eleven thousand, two hundred eighty-nine".