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1830363201 = 32617329617
BaseRepresentation
bin110110100011001…
…0010000001000001
311201120011002021200
41231012102001001
512222033110301
6501343011413
763233554602
oct15506220101
94646132250
101830363201
1185a212a67
12430b99b69
13232291464
1413513bda9
15aaa54c86
hex6d192041

1830363201 has 12 divisors (see below), whose sum is σ = 2648151012. Its totient is φ = 1218260736.

The previous prime is 1830363181. The next prime is 1830363203. The reversal of 1830363201 is 1023630381.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 137452176 + 1692911025 = 11724^2 + 41145^2 .

It is not a de Polignac number, because 1830363201 - 215 = 1830330433 is a prime.

It is a super-3 number, since 3×18303632013 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1830363203) 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 11 ways as a sum of consecutive naturals, for example, 159256 + ... + 170361.

It is an arithmetic number, because the mean of its divisors is an integer number (220679251).

Almost surely, 21830363201 is an apocalyptic number.

It is an amenable number.

1830363201 is a deficient number, since it is larger than the sum of its proper divisors (817787811).

1830363201 is a wasteful number, since it uses less digits than its factorization.

1830363201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330240 (or 330237 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1830363201 is about 42782.7441966969. The cubic root of 1830363201 is about 1223.2421158086.

Adding to 1830363201 its reverse (1023630381), we get a palindrome (2853993582).

The spelling of 1830363201 in words is "one billion, eight hundred thirty million, three hundred sixty-three thousand, two hundred one".

Divisors: 1 3 9 617 1851 5553 329617 988851 2966553 203373689 610121067 1830363201