Search a number
-
+
201330312091 is a prime number
BaseRepresentation
bin1011101110000000111…
…0001100001110011011
3201020200001111112121121
42323200032030032123
511244311024441331
6232253451150111
720355103262626
oct2734016141633
9636601445547
10201330312091
1178424792387
1233029145337
1315ca6b0b1ac
149a5ca52dbd
155385150c11
hex2ee038c39b

201330312091 has 2 divisors, whose sum is σ = 201330312092. Its totient is φ = 201330312090.

The previous prime is 201330312011. The next prime is 201330312121. The reversal of 201330312091 is 190213033102.

201330312091 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 is a cyclic number.

It is not a de Polignac number, because 201330312091 - 215 = 201330279323 is a prime.

It is a super-3 number, since 3×2013303120913 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (201330312011) 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, 100665156045 + 100665156046.

It is an arithmetic number, because the mean of its divisors is an integer number (100665156046).

Almost surely, 2201330312091 is an apocalyptic number.

201330312091 is a deficient number, since it is larger than the sum of its proper divisors (1).

201330312091 is an equidigital number, since it uses as much as digits as its factorization.

201330312091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 201330312091 its reverse (190213033102), we get a palindrome (391543345193).

The spelling of 201330312091 in words is "two hundred one billion, three hundred thirty million, three hundred twelve thousand, ninety-one".