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10300503137 is a prime number
BaseRepresentation
bin10011001011111010…
…10011010001100001
3222120212012202221012
421211331103101201
5132043412100022
64422035310305
7513153555251
oct114575232141
928525182835
1010300503137
114406402511
121bb574b395
13c82033292
146da027961
1540446ade2
hex265f53461

10300503137 has 2 divisors, whose sum is σ = 10300503138. Its totient is φ = 10300503136.

The previous prime is 10300503097. The next prime is 10300503181. The reversal of 10300503137 is 73130500301.

It is a happy number.

10300503137 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., 9723734881 + 576768256 = 98609^2 + 24016^2 .

It is a cyclic number.

It is not a de Polignac number, because 10300503137 - 216 = 10300437601 is a prime.

It is a super-2 number, since 2×103005031372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10300503197) 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, 5150251568 + 5150251569.

It is an arithmetic number, because the mean of its divisors is an integer number (5150251569).

Almost surely, 210300503137 is an apocalyptic number.

It is an amenable number.

10300503137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300503137 is an equidigital number, since it uses as much as digits as its factorization.

10300503137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 23.

The spelling of 10300503137 in words is "ten billion, three hundred million, five hundred three thousand, one hundred thirty-seven".