Search a number
-
+
1010003302993 is a prime number
BaseRepresentation
bin11101011001010001110…
…00110101101001010001
310120112222212101212110111
432230220320311221101
5113021441321143433
62051553352001321
7132653552265466
oct16545070655121
93515885355414
101010003302993
1135a381596553
121438b4090241
1374320871539
1436c54bc966d
151b414a77dcd
hexeb28e35a51

1010003302993 has 2 divisors, whose sum is σ = 1010003302994. Its totient is φ = 1010003302992.

The previous prime is 1010003302933. The next prime is 1010003303083. The reversal of 1010003302993 is 3992033000101.

1010003302993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 513835213329 + 496168089664 = 716823^2 + 704392^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010003302993 - 29 = 1010003302481 is a prime.

It is a super-3 number, since 3×10100033029933 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1010003302933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505001651496 + 505001651497.

It is an arithmetic number, because the mean of its divisors is an integer number (505001651497).

Almost surely, 21010003302993 is an apocalyptic number.

It is an amenable number.

1010003302993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010003302993 is an equidigital number, since it uses as much as digits as its factorization.

1010003302993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 31.

The spelling of 1010003302993 in words is "one trillion, ten billion, three million, three hundred two thousand, nine hundred ninety-three".