Search a number
-
+
1009091010029 is a prime number
BaseRepresentation
bin11101010111100101000…
…00101101110111101101
310120110122021202120210012
432223302200231313231
5113013104244310104
62051323042223005
7132622134030314
oct16536240556755
93513567676705
101009091010029
11359a53628323
1214369a654a65
137420686270b
1436ba998d27b
151b3ae91dd6e
hexeaf282dded

1009091010029 has 2 divisors, whose sum is σ = 1009091010030. Its totient is φ = 1009091010028.

The previous prime is 1009091010001. The next prime is 1009091010047. The reversal of 1009091010029 is 9200101909001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 518212816900 + 490878193129 = 719870^2 + 700627^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009091010029 - 216 = 1009090944493 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1009091009977 and 1009091010004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009091010049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504545505014 + 504545505015.

It is an arithmetic number, because the mean of its divisors is an integer number (504545505015).

Almost surely, 21009091010029 is an apocalyptic number.

It is an amenable number.

1009091010029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009091010029 is an equidigital number, since it uses as much as digits as its factorization.

1009091010029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 32.

The spelling of 1009091010029 in words is "one trillion, nine billion, ninety-one million, ten thousand, twenty-nine".