Search a number
-
+
1333220129 is a prime number
BaseRepresentation
bin100111101110111…
…0101001100100001
310102220200121012022
41033131311030201
510212301021004
6340143311225
745016120103
oct11735651441
93386617168
101333220129
1162462801a
123125ab515
13183299867
14c90cb573
157c0a32be
hex4f775321

1333220129 has 2 divisors, whose sum is σ = 1333220130. Its totient is φ = 1333220128.

The previous prime is 1333220041. The next prime is 1333220171. The reversal of 1333220129 is 9210223331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1064260129 + 268960000 = 32623^2 + 16400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1333220129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1333220098 and 1333220107.

It is not a weakly prime, because it can be changed into another prime (1333220729) 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, 666610064 + 666610065.

It is an arithmetic number, because the mean of its divisors is an integer number (666610065).

Almost surely, 21333220129 is an apocalyptic number.

It is an amenable number.

1333220129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1333220129 is an equidigital number, since it uses as much as digits as its factorization.

1333220129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 1333220129 is about 36513.2870199329. The cubic root of 1333220129 is about 1100.6112660439.

The spelling of 1333220129 in words is "one billion, three hundred thirty-three million, two hundred twenty thousand, one hundred twenty-nine".