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1300120011 = 331923251439
BaseRepresentation
bin100110101111110…
…0100000111001011
310100121101221101000
41031133210013023
510130312320021
6333002030043
744134560231
oct11537440713
93317357330
101300120011
1160797a453
123034a8323
1317947a7a8
14c4952951
1579215b26
hex4d7e41cb

1300120011 has 64 divisors (see below), whose sum is σ = 2128896000. Its totient is φ = 780516000.

The previous prime is 1300120009. The next prime is 1300120013. The reversal of 1300120011 is 1100210031.

It is an interprime number because it is at equal distance from previous prime (1300120009) and next prime (1300120013).

It is not a de Polignac number, because 1300120011 - 21 = 1300120009 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 = 1300119975 and 1300120002.

It is not an unprimeable number, because it can be changed into a prime (1300120013) 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 63 ways as a sum of consecutive naturals, for example, 2961330 + ... + 2961768.

It is an arithmetic number, because the mean of its divisors is an integer number (33264000).

Almost surely, 21300120011 is an apocalyptic number.

1300120011 is a deficient number, since it is larger than the sum of its proper divisors (828775989).

1300120011 is a wasteful number, since it uses less digits than its factorization.

1300120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1300120011 is about 36057.1769693635. The cubic root of 1300120011 is about 1091.4264664255.

Adding to 1300120011 its reverse (1100210031), we get a palindrome (2400330042).

The spelling of 1300120011 in words is "one billion, three hundred million, one hundred twenty thousand, eleven".

Divisors: 1 3 9 19 23 27 57 69 171 207 251 437 439 513 621 753 1311 1317 2259 3933 3951 4769 5773 6777 8341 10097 11799 11853 14307 17319 25023 30291 42921 51957 75069 90873 109687 110189 128763 155871 191843 225207 272619 329061 330567 575529 987183 991701 1726587 2093591 2534347 2961549 2975103 5179761 6280773 7603041 18842319 22809123 48152593 56526957 68427369 144457779 433373337 1300120011