Search a number
-
+
1047053129 is a prime number
BaseRepresentation
bin111110011010001…
…100001101001001
32200222012210212112
4332122030031021
54121021200004
6251521552105
734642543013
oct7632141511
92628183775
101047053129
11498041571
122527a5635
13138c03185
149d0b91b3
1561dc7e6e
hex3e68c349

1047053129 has 2 divisors, whose sum is σ = 1047053130. Its totient is φ = 1047053128.

The previous prime is 1047053099. The next prime is 1047053143. The reversal of 1047053129 is 9213507401.

1047053129 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., 1006348729 + 40704400 = 31723^2 + 6380^2 .

It is a cyclic number.

It is not a de Polignac number, because 1047053129 - 224 = 1030275913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1047053095 and 1047053104.

It is not a weakly prime, because it can be changed into another prime (1047059129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 523526564 + 523526565.

It is an arithmetic number, because the mean of its divisors is an integer number (523526565).

Almost surely, 21047053129 is an apocalyptic number.

It is an amenable number.

1047053129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1047053129 is an equidigital number, since it uses as much as digits as its factorization.

1047053129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1047053129 is about 32358.2003362363. The cubic root of 1047053129 is about 1015.4446122534. Note that the first 3 decimals are identical.

The spelling of 1047053129 in words is "one billion, forty-seven million, fifty-three thousand, one hundred twenty-nine".