Search a number
-
+
3981001933 is a prime number
BaseRepresentation
bin1110110101001001…
…0100010011001101
3101021102221212000001
43231102110103031
531123114030213
61455010404301
7200436646426
oct35522242315
911242855001
103981001933
111763198747
12931290691
134b59cc35c
1429aa0a64d
151847711dd
hexed4944cd

3981001933 has 2 divisors, whose sum is σ = 3981001934. Its totient is φ = 3981001932.

The previous prime is 3981001903. The next prime is 3981001987. The reversal of 3981001933 is 3391001893.

3981001933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 25759-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3270352969 + 710648964 = 57187^2 + 26658^2 .

It is an emirp because it is prime and its reverse (3391001893) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3981001933 - 213 = 3980993741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3981001892 and 3981001901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3981001903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1990500966 + 1990500967.

It is an arithmetic number, because the mean of its divisors is an integer number (1990500967).

Almost surely, 23981001933 is an apocalyptic number.

It is an amenable number.

3981001933 is a deficient number, since it is larger than the sum of its proper divisors (1).

3981001933 is an equidigital number, since it uses as much as digits as its factorization.

3981001933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 3981001933 is about 63095.1815355182. The cubic root of 3981001933 is about 1584.8839334249.

The spelling of 3981001933 in words is "three billion, nine hundred eighty-one million, one thousand, nine hundred thirty-three".