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10300303013 = 7111359174407
BaseRepresentation
bin10011001011111001…
…00010011010100101
3222120211211121102012
421211330202122211
5132043334144023
64422031124005
7513152062640
oct114574423245
928524747365
1010300303013
114406286120
121bb5673605
13c81c93170
146d9db4a57
1540442b978
hex265f226a5

10300303013 has 32 divisors (see below), whose sum is σ = 14064261120. Its totient is φ = 7283194560.

The previous prime is 10300303007. The next prime is 10300303021. The reversal of 10300303013 is 31030300301.

10300303013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10300303013 - 214 = 10300286629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300303063) 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 in 31 ways as a sum of consecutive naturals, for example, 28145 + ... + 146262.

It is an arithmetic number, because the mean of its divisors is an integer number (439508160).

Almost surely, 210300303013 is an apocalyptic number.

10300303013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10300303013 is a deficient number, since it is larger than the sum of its proper divisors (3763958107).

10300303013 is a wasteful number, since it uses less digits than its factorization.

10300303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174497.

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 10300303013 its reverse (31030300301), we get a palindrome (41330603314).

It can be divided in two parts, 10300 and 303013, that added together give a palindrome (313313).

The spelling of 10300303013 in words is "ten billion, three hundred million, three hundred three thousand, thirteen".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 4543 5369 8437 59059 174407 1220849 1918477 2267291 10290013 13429339 15871037 24940201 72030091 113190143 133770169 174581407 792331001 936391183 1471471859 10300303013