Search a number
-
+
1031258993 is a prime number
BaseRepresentation
bin111101011101111…
…100001101110001
32122212111101101112
4331131330031301
54103000241433
6250155243105
734361361662
oct7535741561
92585441345
101031258993
1148a134166
12249449495
1313586322b
149ad67369
1560808348
hex3d77c371

1031258993 has 2 divisors, whose sum is σ = 1031258994. Its totient is φ = 1031258992.

The previous prime is 1031258983. The next prime is 1031258999. The reversal of 1031258993 is 3998521301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 784392049 + 246866944 = 28007^2 + 15712^2 .

It is an emirp because it is prime and its reverse (3998521301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031258993 - 26 = 1031258929 is a prime.

It is a super-2 number, since 2×10312589932 = 2126990221286748098, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1031258993.

It is not a weakly prime, because it can be changed into another prime (1031258999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515629496 + 515629497.

It is an arithmetic number, because the mean of its divisors is an integer number (515629497).

Almost surely, 21031258993 is an apocalyptic number.

It is an amenable number.

1031258993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031258993 is an equidigital number, since it uses as much as digits as its factorization.

1031258993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 1031258993 is about 32113.2214671777. The cubic root of 1031258993 is about 1010.3129419447.

The spelling of 1031258993 in words is "one billion, thirty-one million, two hundred fifty-eight thousand, nine hundred ninety-three".