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2141322513 = 31110126361
BaseRepresentation
bin111111110100001…
…1111110100010001
312112020021110021020
41333220133310101
513341134310023
6552251550053
7104030640531
oct17750376421
95466243236
102141322513
119a97a2330
124b915b329
13281828655
141645654c1
15c7ecade3
hex7fa1fd11

2141322513 has 24 divisors (see below), whose sum is σ = 3146288928. Its totient is φ = 1284720000.

The previous prime is 2141322511. The next prime is 2141322527. The reversal of 2141322513 is 3152231412.

It is not a de Polignac number, because 2141322513 - 21 = 2141322511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2141322511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333453 + ... + 339813.

It is an arithmetic number, because the mean of its divisors is an integer number (131095372).

Almost surely, 22141322513 is an apocalyptic number.

It is an amenable number.

2141322513 is a deficient number, since it is larger than the sum of its proper divisors (1004966415).

2141322513 is a wasteful number, since it uses less digits than its factorization.

2141322513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577 (or 6476 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2141322513 is about 46274.4261228597. The cubic root of 2141322513 is about 1288.9241501718.

Adding to 2141322513 its reverse (3152231412), we get a palindrome (5293553925).

The spelling of 2141322513 in words is "two billion, one hundred forty-one million, three hundred twenty-two thousand, five hundred thirteen".

Divisors: 1 3 11 33 101 303 1111 3333 6361 10201 19083 30603 69971 112211 209913 336633 642461 1927383 7067071 21201213 64888561 194665683 713774171 2141322513