Search a number
-
+
320130331201027 is a prime number
BaseRepresentation
bin100100011001010000010011…
…0101011000100111000000011
31112222111011100012120002112101
41020302200212223010320003
5313430003404241413102
63052505502140211231
7124300440016446004
oct11062404653047003
91488434305502471
10320130331201027
1193004569200946
122baa34a0239b17
13109822120939c9
14590a5681351ab
1527024d067be87
hex1232826ac4e03

320130331201027 has 2 divisors, whose sum is σ = 320130331201028. Its totient is φ = 320130331201026.

The previous prime is 320130331201003. The next prime is 320130331201039. The reversal of 320130331201027 is 720102133031023.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320130331201027 is a prime.

It is a super-2 number, since 2×3201303312010272 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320130331200986 and 320130331201004.

It is not a weakly prime, because it can be changed into another prime (320130331201067) 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, 160065165600513 + 160065165600514.

It is an arithmetic number, because the mean of its divisors is an integer number (160065165600514).

Almost surely, 2320130331201027 is an apocalyptic number.

320130331201027 is a deficient number, since it is larger than the sum of its proper divisors (1).

320130331201027 is an equidigital number, since it uses as much as digits as its factorization.

320130331201027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 320130331201027 in words is "three hundred twenty trillion, one hundred thirty billion, three hundred thirty-one million, two hundred one thousand, twenty-seven".