Search a number
-
+
235310334689 is a prime number
BaseRepresentation
bin1101101100100110010…
…1101100001011100001
3211111101011220112121002
43123021211230023201
512323403421202224
6300033341041345
723000131562123
oct3331145541341
9744334815532
10235310334689
1190881605291
1239730b56255
131926091b941
14b5638d1213
1561c33a59ae
hex36c996c2e1

235310334689 has 2 divisors, whose sum is σ = 235310334690. Its totient is φ = 235310334688.

The previous prime is 235310334641. The next prime is 235310334697. The reversal of 235310334689 is 986433013532.

It is a happy number.

235310334689 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., 231849954064 + 3460380625 = 481508^2 + 58825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-235310334689 is a prime.

It is a super-2 number, since 2×2353103346892 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (235310334989) 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, 117655167344 + 117655167345.

It is an arithmetic number, because the mean of its divisors is an integer number (117655167345).

Almost surely, 2235310334689 is an apocalyptic number.

It is an amenable number.

235310334689 is a deficient number, since it is larger than the sum of its proper divisors (1).

235310334689 is an equidigital number, since it uses as much as digits as its factorization.

235310334689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1399680, while the sum is 47.

The spelling of 235310334689 in words is "two hundred thirty-five billion, three hundred ten million, three hundred thirty-four thousand, six hundred eighty-nine".