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1300090011 = 311176137991
BaseRepresentation
bin100110101111101…
…1100110010011011
310100121100102012220
41031133130302123
510130310340021
6333001235123
744134403613
oct11537346233
93317312186
101300090011
11607959960
12303492aa3
13179469c3c
14c4945a43
157920bcc6
hex4d7dcc9b

1300090011 has 32 divisors (see below), whose sum is σ = 2035155456. Its totient is φ = 729408000.

The previous prime is 1300089971. The next prime is 1300090013. The reversal of 1300090011 is 1100900031.

It is not a de Polignac number, because 1300090011 - 27 = 1300089883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1300090013) 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 31 ways as a sum of consecutive naturals, for example, 15226 + ... + 53216.

It is an arithmetic number, because the mean of its divisors is an integer number (63598608).

Almost surely, 21300090011 is an apocalyptic number.

1300090011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1300090011 is a deficient number, since it is larger than the sum of its proper divisors (735065445).

1300090011 is a wasteful number, since it uses less digits than its factorization.

1300090011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38083.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1300090011 is about 36056.7609610181. The cubic root of 1300090011 is about 1091.4180715477.

Adding to 1300090011 its reverse (1100900031), we get a palindrome (2400990042).

The spelling of 1300090011 in words is "one billion, three hundred million, ninety thousand, eleven".

Divisors: 1 3 11 17 33 51 61 183 187 561 671 1037 2013 3111 11407 34221 37991 113973 417901 645847 1253703 1937541 2317451 6952353 7104317 21312951 25491961 39396667 76475883 118190001 433363337 1300090011