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1100120013 = 32151809507
BaseRepresentation
bin100000110010010…
…0111111111001101
32211200001212221200
41001210213333031
54223112320023
6301055220113
736155602656
oct10144477715
92750055850
101100120013
11514a974a3
12268517639
13146bc34b5
14a617052d
15668ab743
hex41927fcd

1100120013 has 12 divisors (see below), whose sum is σ = 1599587808. Its totient is φ = 728555400.

The previous prime is 1100120009. The next prime is 1100120039. The reversal of 1100120013 is 3100210011.

It is not a de Polignac number, because 1100120013 - 22 = 1100120009 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100119977 and 1100120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100120003) 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 11 ways as a sum of consecutive naturals, for example, 403395 + ... + 406112.

It is an arithmetic number, because the mean of its divisors is an integer number (133298984).

Almost surely, 21100120013 is an apocalyptic number.

It is an amenable number.

1100120013 is a deficient number, since it is larger than the sum of its proper divisors (499467795).

1100120013 is a wasteful number, since it uses less digits than its factorization.

1100120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809664 (or 809661 counting only the distinct ones).

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

The square root of 1100120013 is about 33168.0571182576. The cubic root of 1100120013 is about 1032.3176556165.

Adding to 1100120013 its reverse (3100210011), we get a palindrome (4200330024).

The spelling of 1100120013 in words is "one billion, one hundred million, one hundred twenty thousand, thirteen".

Divisors: 1 3 9 151 453 1359 809507 2428521 7285563 122235557 366706671 1100120013