Search a number
-
+
1033201157 is a prime number
BaseRepresentation
bin111101100101010…
…110011000000101
32200000011001112112
4331211112120011
54103444414112
6250305030405
734414031162
oct7545263005
92600131475
101033201157
1149024035a
1224a025405
13136093241
149b311069
1560a8da22
hex3d956605

1033201157 has 2 divisors, whose sum is σ = 1033201158. Its totient is φ = 1033201156.

The previous prime is 1033201151. The next prime is 1033201187. The reversal of 1033201157 is 7511023301.

1033201157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 888576481 + 144624676 = 29809^2 + 12026^2 .

It is an emirp because it is prime and its reverse (7511023301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1033201157 - 26 = 1033201093 is a prime.

It is a super-2 number, since 2×10332011572 = 2135009261652277298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033201151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516600578 + 516600579.

It is an arithmetic number, because the mean of its divisors is an integer number (516600579).

Almost surely, 21033201157 is an apocalyptic number.

It is an amenable number.

1033201157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033201157 is an equidigital number, since it uses as much as digits as its factorization.

1033201157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 1033201157 is about 32143.4465638021. The cubic root of 1033201157 is about 1010.9467830164.

Adding to 1033201157 its reverse (7511023301), we get a palindrome (8544224458).

The spelling of 1033201157 in words is "one billion, thirty-three million, two hundred one thousand, one hundred fifty-seven".