Search a number
-
+
120320329177 is a prime number
BaseRepresentation
bin111000000001110100…
…1101000010111011001
3102111120022221000112001
41300003221220113121
53432404001013202
6131135134121001
711456435631466
oct1600351502731
9374508830461
10120320329177
1147033764184
121b39b050161
13b466682369
145b75acc66d
1531e317cd87
hex1c03a685d9

120320329177 has 2 divisors, whose sum is σ = 120320329178. Its totient is φ = 120320329176.

The previous prime is 120320329153. The next prime is 120320329219. The reversal of 120320329177 is 771923023021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94701445696 + 25618883481 = 307736^2 + 160059^2 .

It is a cyclic number.

It is not a de Polignac number, because 120320329177 - 215 = 120320296409 is a prime.

It is a super-2 number, since 2×1203203291772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (120320320177) 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, 60160164588 + 60160164589.

It is an arithmetic number, because the mean of its divisors is an integer number (60160164589).

Almost surely, 2120320329177 is an apocalyptic number.

It is an amenable number.

120320329177 is a deficient number, since it is larger than the sum of its proper divisors (1).

120320329177 is an equidigital number, since it uses as much as digits as its factorization.

120320329177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 120320329177 in words is "one hundred twenty billion, three hundred twenty million, three hundred twenty-nine thousand, one hundred seventy-seven".