Search a number
-
+
1033139141 is a prime number
BaseRepresentation
bin111101100101000…
…111001111000101
32200000000220110122
4331211013033011
54103440423031
6250303431325
734413352316
oct7545071705
92600026418
101033139141
114901a8801
12249bb5545
13136070c48
149b2d660d
1560a7a47b
hex3d9473c5

1033139141 has 2 divisors, whose sum is σ = 1033139142. Its totient is φ = 1033139140.

The previous prime is 1033139119. The next prime is 1033139167. The reversal of 1033139141 is 1419313301.

It is an a-pointer prime, because the next prime (1033139167) can be obtained adding 1033139141 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 621455041 + 411684100 = 24929^2 + 20290^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033139141 - 214 = 1033122757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1033139141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033139111) 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, 516569570 + 516569571.

It is an arithmetic number, because the mean of its divisors is an integer number (516569571).

Almost surely, 21033139141 is an apocalyptic number.

It is an amenable number.

1033139141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033139141 is an equidigital number, since it uses as much as digits as its factorization.

1033139141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 1033139141 is about 32142.4818736824. The cubic root of 1033139141 is about 1010.9265558710.

The spelling of 1033139141 in words is "one billion, thirty-three million, one hundred thirty-nine thousand, one hundred forty-one".