Search a number
-
+
1033135379 is a prime number
BaseRepresentation
bin111101100101000…
…110010100010011
32200000000201022022
4331211012110103
54103440313004
6250303402055
734413335333
oct7545062423
92600021268
101033135379
114901a59a1
12249bb332b
1313606c313
149b2d50c3
1560a792be
hex3d946513

1033135379 has 2 divisors, whose sum is σ = 1033135380. Its totient is φ = 1033135378.

The previous prime is 1033135319. The next prime is 1033135381. The reversal of 1033135379 is 9735313301.

It is a happy number.

1033135379 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1033135379 is a prime.

It is a super-2 number, since 2×10331353792 = 2134737422682947282, which contains 22 as substring.

Together with 1033135381, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1033135309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516567689 + 516567690.

It is an arithmetic number, because the mean of its divisors is an integer number (516567690).

Almost surely, 21033135379 is an apocalyptic number.

1033135379 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033135379 is an equidigital number, since it uses as much as digits as its factorization.

1033135379 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25515, while the sum is 35.

The square root of 1033135379 is about 32142.4233529459. The cubic root of 1033135379 is about 1010.9253288306.

The spelling of 1033135379 in words is "one billion, thirty-three million, one hundred thirty-five thousand, three hundred seventy-nine".