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1200002013 = 3372907031
BaseRepresentation
bin100011110000110…
…1001001111011101
310002122000102022000
41013201221033131
54424200031023
6315024112513
741510564100
oct10741511735
93078012260
101200002013
11566408301
12295a65739
131617c5382
14b5530737
157053b243
hex478693dd

1200002013 has 24 divisors (see below), whose sum is σ = 2068032960. Its totient is φ = 685714680.

The previous prime is 1200001987. The next prime is 1200002017. The reversal of 1200002013 is 3102000021.

It is a happy number.

It is not a de Polignac number, because 1200002013 - 28 = 1200001757 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 = 1200001986 and 1200002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200002017) 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 23 ways as a sum of consecutive naturals, for example, 452193 + ... + 454838.

It is an arithmetic number, because the mean of its divisors is an integer number (86168040).

Almost surely, 21200002013 is an apocalyptic number.

It is an amenable number.

1200002013 is a deficient number, since it is larger than the sum of its proper divisors (868030947).

1200002013 is an equidigital number, since it uses as much as digits as its factorization.

1200002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907054 (or 907041 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1200002013 is about 34641.0452065177. The cubic root of 1200002013 is about 1062.6591633855.

Adding to 1200002013 its reverse (3102000021), we get a palindrome (4302002034).

The spelling of 1200002013 in words is "one billion, two hundred million, two thousand, thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 907031 2721093 6349217 8163279 19047651 24489837 44444519 57142953 133333557 171428859 400000671 1200002013