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10300001301 = 321144444589
BaseRepresentation
bin10011001011110110…
…11000110000010101
3222120211021021112200
421211323120300111
5132043300020201
64422020435113
7513146365212
oct114573306025
928524237480
1010300001301
11440609a477
121bb5548a99
13c81bb8a35
146d9d36b09
154043bc386
hex265ed8c15

10300001301 has 6 divisors (see below), whose sum is σ = 14877779670. Its totient is φ = 6866667528.

The previous prime is 10300001297. The next prime is 10300001333. The reversal of 10300001301 is 10310000301.

10300001301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9880161201 + 419840100 = 99399^2 + 20490^2 .

It is not a de Polignac number, because 10300001301 - 22 = 10300001297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1144444589 = 10300001301 / (1 + 0 + 3 + 0 + 0 + 0 + 0 + 1 + 3 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300001401) 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 5 ways as a sum of consecutive naturals, for example, 572222286 + ... + 572222303.

It is an arithmetic number, because the mean of its divisors is an integer number (2479629945).

Almost surely, 210300001301 is an apocalyptic number.

It is an amenable number.

10300001301 is a deficient number, since it is larger than the sum of its proper divisors (4577778369).

10300001301 is a wasteful number, since it uses less digits than its factorization.

10300001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144444595 (or 1144444592 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10300001301 its reverse (10310000301), we get a palindrome (20610001602).

It can be divided in two parts, 1030000 and 1301, that added together give a palindrome (1031301).

The spelling of 10300001301 in words is "ten billion, three hundred million, one thousand, three hundred one".

Divisors: 1 3 9 1144444589 3433333767 10300001301