Search a number
-
+
193917041 is a prime number
BaseRepresentation
bin10111000111011…
…11000001110001
3111111220000011122
423203233001301
5344120321131
631124152025
74543160543
oct1343570161
9444800148
10193917041
119a50881a
1254b38615
1331237616
141ba7b693
1512056d7b
hexb8ef071

193917041 has 2 divisors, whose sum is σ = 193917042. Its totient is φ = 193917040.

The previous prime is 193917029. The next prime is 193917043. The reversal of 193917041 is 140719391.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108076816 + 85840225 = 10396^2 + 9265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-193917041 is a prime.

Together with 193917043, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 193916992 and 193917010.

It is not a weakly prime, because it can be changed into another prime (193917043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96958520 + 96958521.

It is an arithmetic number, because the mean of its divisors is an integer number (96958521).

Almost surely, 2193917041 is an apocalyptic number.

It is an amenable number.

193917041 is a deficient number, since it is larger than the sum of its proper divisors (1).

193917041 is an equidigital number, since it uses as much as digits as its factorization.

193917041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 193917041 is about 13925.4099042003. The cubic root of 193917041 is about 578.8135088841.

The spelling of 193917041 in words is "one hundred ninety-three million, nine hundred seventeen thousand, forty-one".