Search a number
-
+
146322345193 is a prime number
BaseRepresentation
bin1000100001000101111…
…1011100110011101001
3111222200110022021220021
42020101133130303221
54344132010021233
6151115231400441
713400001261403
oct2102137346351
9458613267807
10146322345193
1157067170712
1224437083121
1310a4b68055b
147121189b73
153c15ccde2d
hex22117dcce9

146322345193 has 2 divisors, whose sum is σ = 146322345194. Its totient is φ = 146322345192.

The previous prime is 146322345157. The next prime is 146322345227. The reversal of 146322345193 is 391543223641.

146322345193 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., 84653066304 + 61669278889 = 290952^2 + 248333^2 .

It is a cyclic number.

It is not a de Polignac number, because 146322345193 - 29 = 146322344681 is a prime.

It is not a weakly prime, because it can be changed into another prime (146322345293) 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, 73161172596 + 73161172597.

It is an arithmetic number, because the mean of its divisors is an integer number (73161172597).

Almost surely, 2146322345193 is an apocalyptic number.

It is an amenable number.

146322345193 is a deficient number, since it is larger than the sum of its proper divisors (1).

146322345193 is an equidigital number, since it uses as much as digits as its factorization.

146322345193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 466560, while the sum is 43.

The spelling of 146322345193 in words is "one hundred forty-six billion, three hundred twenty-two million, three hundred forty-five thousand, one hundred ninety-three".