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1100030013 = 32122225557
BaseRepresentation
bin100000110010001…
…0010000000111101
32211122220022111100
41001210102000331
54223101430023
6301053243313
736155046405
oct10144220075
92748808440
101100030013
11514a35915
12268493539
13146b91544
14a6149805
156688ec43
hex4191203d

1100030013 has 6 divisors (see below), whose sum is σ = 1588932254. Its totient is φ = 733353336.

The previous prime is 1100029991. The next prime is 1100030021. The reversal of 1100030013 is 3100300011.

It can be written as a sum of positive squares in only one way, i.e., 617920164 + 482109849 = 24858^2 + 21957^2 .

It is not a de Polignac number, because 1100030013 - 26 = 1100029949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 122225557 = 1100030013 / (1 + 1 + 0 + 0 + 0 + 3 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 1100029977 and 1100030004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100030083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61112770 + ... + 61112787.

Almost surely, 21100030013 is an apocalyptic number.

It is an amenable number.

1100030013 is a deficient number, since it is larger than the sum of its proper divisors (488902241).

1100030013 is a wasteful number, since it uses less digits than its factorization.

1100030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122225563 (or 122225560 counting only the distinct ones).

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

The square root of 1100030013 is about 33166.7003634670. The cubic root of 1100030013 is about 1032.2895038022.

Adding to 1100030013 its reverse (3100300011), we get a palindrome (4200330024).

The spelling of 1100030013 in words is "one billion, one hundred million, thirty thousand, thirteen".

Divisors: 1 3 9 122225557 366676671 1100030013