Search a number
-
+
3100202993 is a prime number
BaseRepresentation
bin1011100011001001…
…0101011111110001
322000001120122000002
42320302111133301
522322122443433
61231344035345
7136553201456
oct27062253761
98001518002
103100202993
111350a90438
12726302b55
133a5399554
14215a4b82d
151322889e8
hexb8c957f1

3100202993 has 2 divisors, whose sum is σ = 3100202994. Its totient is φ = 3100202992.

The previous prime is 3100202983. The next prime is 3100202999. The reversal of 3100202993 is 3992020013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2482829584 + 617373409 = 49828^2 + 24847^2 .

It is an emirp because it is prime and its reverse (3992020013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3100202993 - 216 = 3100137457 is a prime.

It is a super-2 number, since 2×31002029932 = 19222517195612316098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3100202999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550101496 + 1550101497.

It is an arithmetic number, because the mean of its divisors is an integer number (1550101497).

Almost surely, 23100202993 is an apocalyptic number.

It is an amenable number.

3100202993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3100202993 is an equidigital number, since it uses as much as digits as its factorization.

3100202993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 3100202993 is about 55679.4665294128. The cubic root of 3100202993 is about 1458.1315613729.

The spelling of 3100202993 in words is "three billion, one hundred million, two hundred two thousand, nine hundred ninety-three".