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1830321513 = 32372149997
BaseRepresentation
bin110110100011000…
…0111110101101001
311201120001222002200
41231012013311221
512222030242023
6501342050413
763233322216
oct15506076551
94646058080
101830321513
1185a194709
12430b79a09
132322784a7
1413512ab0d
15aaa47743
hex6d187d69

1830321513 has 36 divisors (see below), whose sum is σ = 2738162700. Its totient is φ = 1178084736.

The previous prime is 1830321487. The next prime is 1830321523. The reversal of 1830321513 is 3151230381.

It can be written as a sum of positive squares in 6 ways, for example, as 330076224 + 1500245289 = 18168^2 + 38733^2 .

It is not a de Polignac number, because 1830321513 - 29 = 1830321001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1830321523) 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 35 ways as a sum of consecutive naturals, for example, 1835331 + ... + 1836327.

It is an arithmetic number, because the mean of its divisors is an integer number (76060075).

Almost surely, 21830321513 is an apocalyptic number.

It is an amenable number.

1830321513 is a deficient number, since it is larger than the sum of its proper divisors (907841187).

1830321513 is a wasteful number, since it uses less digits than its factorization.

1830321513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1830321513 is about 42782.2569881487. The cubic root of 1830321513 is about 1223.2328289624.

Adding to 1830321513 its reverse (3151230381), we get a palindrome (4981551894).

The spelling of 1830321513 in words is "one billion, eight hundred thirty million, three hundred twenty-one thousand, five hundred thirteen".

Divisors: 1 3 9 37 111 149 333 447 997 1341 1369 2991 4107 5513 8973 12321 16539 36889 49617 110667 148553 203981 332001 445659 611943 1336977 1364893 1835829 4094679 5496461 12284037 16489383 49468149 203369057 610107171 1830321513