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2005134431 = 16757720809
BaseRepresentation
bin111011110000011…
…1110110001011111
312011202000101100012
41313200332301133
513101303300211
6530544553435
7100455234656
oct16740766137
95152011305
102005134431
119399341a3
1247b62287b
1325c5543a1
1415043419d
15bb078d8b
hex7783ec5f

2005134431 has 8 divisors (see below), whose sum is σ = 2020734240. Its totient is φ = 1989577728.

The previous prime is 2005134427. The next prime is 2005134437. The reversal of 2005134431 is 1344315002.

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 2005134431 - 22 = 2005134427 is a prime.

It is a super-2 number, since 2×20051344312 = 8041128172763387522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005134397 and 2005134406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005134437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85955 + ... + 106763.

It is an arithmetic number, because the mean of its divisors is an integer number (252591780).

Almost surely, 22005134431 is an apocalyptic number.

2005134431 is a deficient number, since it is larger than the sum of its proper divisors (15599809).

2005134431 is a wasteful number, since it uses less digits than its factorization.

2005134431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21553.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2005134431 is about 44778.7274383719. The cubic root of 2005134431 is about 1260.9982915323.

Adding to 2005134431 its reverse (1344315002), we get a palindrome (3349449433).

The spelling of 2005134431 in words is "two billion, five million, one hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 167 577 20809 96359 3475103 12006793 2005134431