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1321530037 = 17539715121
BaseRepresentation
bin100111011000100…
…1111001010110101
310102002200200101221
41032301033022311
510201302430122
6335044550341
744514551152
oct11661171265
93362620357
101321530037
11618a73093
1230a6b23b1
13180a35949
14c7727229
157b0446c7
hex4ec4f2b5

1321530037 has 16 divisors (see below), whose sum is σ = 1440461232. Its totient is φ = 1207664640.

The previous prime is 1321530017. The next prime is 1321530053. The reversal of 1321530037 is 7300351231.

It can be written as a sum of positive squares in 8 ways, for example, as 8844676 + 1312685361 = 2974^2 + 36231^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321530037 - 211 = 1321527989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1321529993 and 1321530020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321530017) 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 15 ways as a sum of consecutive naturals, for example, 79837 + ... + 94957.

It is an arithmetic number, because the mean of its divisors is an integer number (90028827).

Almost surely, 21321530037 is an apocalyptic number.

1321530037 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1321530037 is a deficient number, since it is larger than the sum of its proper divisors (118931195).

1321530037 is a wasteful number, since it uses less digits than its factorization.

1321530037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 1321530037 is about 36352.8545921775. The cubic root of 1321530037 is about 1097.3849830433.

Adding to 1321530037 its reverse (7300351231), we get a palindrome (8621881268).

It can be divided in two parts, 132 and 1530037, that added together give a square (1530169 = 12372).

The spelling of 1321530037 in words is "one billion, three hundred twenty-one million, five hundred thirty thousand, thirty-seven".

Divisors: 1 17 53 97 901 1649 5141 15121 87397 257057 801413 1466737 13624021 24934529 77737061 1321530037