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2121415313 = 37186130809
BaseRepresentation
bin111111001110010…
…0011101010010001
312110211211001201112
41332130203222101
513321040242223
6550301143105
7103366506203
oct17634435221
95424731645
102121415313
119995357a6
124b255aa95
1327a678544
14161a62773
15c6397778
hex7e723a91

2121415313 has 8 divisors (see below), whose sum is σ = 2179992360. Its totient is φ = 2062903680.

The previous prime is 2121415301. The next prime is 2121415339. The reversal of 2121415313 is 3135141212.

It can be written as a sum of positive squares in 4 ways, for example, as 378185809 + 1743229504 = 19447^2 + 41752^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2121415313 - 24 = 2121415297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121415393) 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 7 ways as a sum of consecutive naturals, for example, 53453 + ... + 84261.

It is an arithmetic number, because the mean of its divisors is an integer number (272499045).

Almost surely, 22121415313 is an apocalyptic number.

It is an amenable number.

2121415313 is a deficient number, since it is larger than the sum of its proper divisors (58577047).

2121415313 is a wasteful number, since it uses less digits than its factorization.

2121415313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32707.

The product of its digits is 720, while the sum is 23.

The square root of 2121415313 is about 46058.8244856510. The cubic root of 2121415313 is about 1284.9174676865.

Adding to 2121415313 its reverse (3135141212), we get a palindrome (5256556525).

The spelling of 2121415313 in words is "two billion, one hundred twenty-one million, four hundred fifteen thousand, three hundred thirteen".

Divisors: 1 37 1861 30809 68857 1139933 57335549 2121415313