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3130202993 is a prime number
BaseRepresentation
bin1011101010010011…
…0001101101110001
322002011000210021012
42322210301231301
522402312443433
61234335040305
7140366200151
oct27244615561
98064023235
103130202993
111366a10925
12734370095
133ab671528
14219a1a761
15134c12848
hexba931b71

3130202993 has 2 divisors, whose sum is σ = 3130202994. Its totient is φ = 3130202992.

The previous prime is 3130202953. The next prime is 3130203001. The reversal of 3130202993 is 3992020313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3110069824 + 20133169 = 55768^2 + 4487^2 .

It is an emirp because it is prime and its reverse (3992020313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3130202993 - 216 = 3130137457 is a prime.

It is not a weakly prime, because it can be changed into another prime (3130202903) 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, 1565101496 + 1565101497.

It is an arithmetic number, because the mean of its divisors is an integer number (1565101497).

Almost surely, 23130202993 is an apocalyptic number.

It is an amenable number.

3130202993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3130202993 is an equidigital number, since it uses as much as digits as its factorization.

3130202993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 3130202993 is about 55948.2170672131. The cubic root of 3130202993 is about 1462.8198135473.

The spelling of 3130202993 in words is "three billion, one hundred thirty million, two hundred two thousand, nine hundred ninety-three".