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1003300298137 is a prime number
BaseRepresentation
bin11101001100110010101…
…10111001110110011001
310112220200201111221102101
432212121112321312121
5112414224334020022
62044524303203401
7132325500552334
oct16463126716631
93486621457371
101003300298137
11357551953815
121425432a6561
13737c2c53787
14367ba89d61b
151b171377627
hexe9995b9d99

1003300298137 has 2 divisors, whose sum is σ = 1003300298138. Its totient is φ = 1003300298136.

The previous prime is 1003300298123. The next prime is 1003300298177. The reversal of 1003300298137 is 7318920033001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 944918140761 + 58382157376 = 972069^2 + 241624^2 .

It is an emirp because it is prime and its reverse (7318920033001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003300298137 is a prime.

It is a super-2 number, since 2×10033002981372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003300298096 and 1003300298105.

It is not a weakly prime, because it can be changed into another prime (1003300298177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501650149068 + 501650149069.

It is an arithmetic number, because the mean of its divisors is an integer number (501650149069).

Almost surely, 21003300298137 is an apocalyptic number.

It is an amenable number.

1003300298137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003300298137 is an equidigital number, since it uses as much as digits as its factorization.

1003300298137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 1003300298137 in words is "one trillion, three billion, three hundred million, two hundred ninety-eight thousand, one hundred thirty-seven".