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1310003993 is a prime number
BaseRepresentation
bin100111000010101…
…0001001100011001
310101022000002122102
41032011101030121
510140330111433
6333553533145
744314564424
oct11605211431
93338002572
101310003993
11612510431
123068741b5
1317b52b5bc
14c5da69bb
157a0194e8
hex4e151319

1310003993 has 2 divisors, whose sum is σ = 1310003994. Its totient is φ = 1310003992.

The previous prime is 1310003953. The next prime is 1310004011. The reversal of 1310003993 is 3993000131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 921243904 + 388760089 = 30352^2 + 19717^2 .

It is an emirp because it is prime and its reverse (3993000131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1310003993 is a prime.

It is a super-2 number, since 2×13100039932 = 3432220923351888098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1310003923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655001996 + 655001997.

It is an arithmetic number, because the mean of its divisors is an integer number (655001997).

Almost surely, 21310003993 is an apocalyptic number.

It is an amenable number.

1310003993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310003993 is an equidigital number, since it uses as much as digits as its factorization.

1310003993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 29.

The square root of 1310003993 is about 36193.9773028608. The cubic root of 1310003993 is about 1094.1852930869.

The spelling of 1310003993 in words is "one billion, three hundred ten million, three thousand, nine hundred ninety-three".