Search a number
-
+
1038955033 is a prime number
BaseRepresentation
bin111101111011010…
…011001000011001
32200101222101101001
4331323103020121
54111433030113
6251032225001
734513654264
oct7573231031
92611871331
101038955033
11493510326
1224bb3b161
131373291bc
149bdabcdb
15613287dd
hex3ded3219

1038955033 has 2 divisors, whose sum is σ = 1038955034. Its totient is φ = 1038955032.

The previous prime is 1038955031. The next prime is 1038955037. The reversal of 1038955033 is 3305598301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 991179289 + 47775744 = 31483^2 + 6912^2 .

It is a cyclic number.

It is not a de Polignac number, because 1038955033 - 21 = 1038955031 is a prime.

Together with 1038955031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1038954983 and 1038955001.

It is not a weakly prime, because it can be changed into another prime (1038955031) 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, 519477516 + 519477517.

It is an arithmetic number, because the mean of its divisors is an integer number (519477517).

Almost surely, 21038955033 is an apocalyptic number.

It is an amenable number.

1038955033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038955033 is an equidigital number, since it uses as much as digits as its factorization.

1038955033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 1038955033 is about 32232.8253958600. The cubic root of 1038955033 is about 1012.8199573675.

The spelling of 1038955033 in words is "one billion, thirty-eight million, nine hundred fifty-five thousand, thirty-three".