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1200002193 = 321310256429
BaseRepresentation
bin100011110000110…
…1001010010010001
310002122000102112200
41013201221102101
54424200032233
6315024113413
741510564445
oct10741512221
93078012480
101200002193
11566408455
12295a65869
131617c5490
14b5530825
157053b313
hex47869491

1200002193 has 12 divisors (see below), whose sum is σ = 1866670260. Its totient is φ = 738462816.

The previous prime is 1200002191. The next prime is 1200002197. The reversal of 1200002193 is 3912000021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102272769 + 1097729424 = 10113^2 + 33132^2 .

It is not a de Polignac number, because 1200002193 - 21 = 1200002191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1200002191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5128098 + ... + 5128331.

It is an arithmetic number, because the mean of its divisors is an integer number (155555855).

Almost surely, 21200002193 is an apocalyptic number.

1200002193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1200002193 is a deficient number, since it is larger than the sum of its proper divisors (666668067).

1200002193 is a wasteful number, since it uses less digits than its factorization.

1200002193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256448 (or 10256445 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1200002193 is about 34641.0478045916. The cubic root of 1200002193 is about 1062.6592165184.

The spelling of 1200002193 in words is "one billion, two hundred million, two thousand, one hundred ninety-three".

Divisors: 1 3 9 13 39 117 10256429 30769287 92307861 133333577 400000731 1200002193