Search a number
-
+
1065223129 is a prime number
BaseRepresentation
bin111111011111100…
…000001111011001
32202020101221102111
4333133200033121
54140144120004
6253411232321
735253150535
oct7737401731
92666357374
101065223129
114a73219a3
122588a86a1
1313c8c5659
14a1688bc5
15637b6a04
hex3f7e03d9

1065223129 has 2 divisors, whose sum is σ = 1065223130. Its totient is φ = 1065223128.

The previous prime is 1065223073. The next prime is 1065223141. The reversal of 1065223129 is 9213225601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 924160000 + 141063129 = 30400^2 + 11877^2 .

It is an emirp because it is prime and its reverse (9213225601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1065223129 - 27 = 1065223001 is a prime.

It is a super-2 number, since 2×10652231292 = 2269400629113101282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1065223129.

It is not a weakly prime, because it can be changed into another prime (1065223169) 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, 532611564 + 532611565.

It is an arithmetic number, because the mean of its divisors is an integer number (532611565).

Almost surely, 21065223129 is an apocalyptic number.

It is an amenable number.

1065223129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1065223129 is an equidigital number, since it uses as much as digits as its factorization.

1065223129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1065223129 is about 32637.7561881941. The cubic root of 1065223129 is about 1021.2847865594.

The spelling of 1065223129 in words is "one billion, sixty-five million, two hundred twenty-three thousand, one hundred twenty-nine".