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1000303011 = 32919120941
BaseRepresentation
bin111011100111110…
…110100110100011
32120201020122202200
4323213312212203
54022034144021
6243131544243
733534302211
oct7347664643
92521218680
101000303011
11473710504
1223abbb083
1312c315096
1496bc9cb1
155cc41126
hex3b9f69a3

1000303011 has 12 divisors (see below), whose sum is σ = 1446466320. Its totient is φ = 666137520.

The previous prime is 1000302991. The next prime is 1000303043. The reversal of 1000303011 is 1103030001.

It is not a de Polignac number, because 1000303011 - 225 = 966748579 is a prime.

It is a super-2 number, since 2×10003030112 = 2001212227631332242, which contains 22 as substring.

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 = 1000302984 and 1000303002.

It is not an unprimeable number, because it can be changed into a prime (1000303081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52200 + ... + 68741.

It is an arithmetic number, because the mean of its divisors is an integer number (120538860).

Almost surely, 21000303011 is an apocalyptic number.

1000303011 is a deficient number, since it is larger than the sum of its proper divisors (446163309).

1000303011 is a wasteful number, since it uses less digits than its factorization.

1000303011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121866 (or 121863 counting only the distinct ones).

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

The square root of 1000303011 is about 31627.5672633859. The cubic root of 1000303011 is about 1000.1009934666.

Adding to 1000303011 its reverse (1103030001), we get a palindrome (2103333012).

It can be divided in two parts, 100030 and 3011, that added together give a square (103041 = 3212).

The spelling of 1000303011 in words is "one billion, three hundred three thousand, eleven".

Divisors: 1 3 9 919 2757 8271 120941 362823 1088469 111144779 333434337 1000303011