Search a number
-
+
1000300311 = 32643172853
BaseRepresentation
bin111011100111110…
…101111100010111
32120201020112001200
4323213311330113
54022034102221
6243131523543
733534261303
oct7347657427
92521215050
101000300311
1147370947a
1223abb95b3
1312c313a9a
1496bc8d03
155cc40426
hex3b9f5f17

1000300311 has 12 divisors (see below), whose sum is σ = 1447133688. Its totient is φ = 665825904.

The previous prime is 1000300297. The next prime is 1000300319. The reversal of 1000300311 is 1130030001.

It is not a de Polignac number, because 1000300311 - 221 = 998203159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000300293 and 1000300302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000300319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80640 + ... + 92213.

It is an arithmetic number, because the mean of its divisors is an integer number (120594474).

Almost surely, 21000300311 is an apocalyptic number.

1000300311 is a deficient number, since it is larger than the sum of its proper divisors (446833377).

1000300311 is a wasteful number, since it uses less digits than its factorization.

1000300311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173502 (or 173499 counting only the distinct ones).

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

The square root of 1000300311 is about 31627.5245790751. The cubic root of 1000300311 is about 1000.1000936476.

Adding to 1000300311 its reverse (1130030001), we get a palindrome (2130330312).

The spelling of 1000300311 in words is "one billion, three hundred thousand, three hundred eleven".

Divisors: 1 3 9 643 1929 5787 172853 518559 1555677 111144479 333433437 1000300311