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1205134131 = 31780929209
BaseRepresentation
bin100011111010100…
…1110001100110011
310002222200011020110
41013311032030303
54432003243011
6315330112403
741602320405
oct10765161463
93088604213
101205134131
115692a3123
1229771b703
131628a1326
14b60a8b75
1570c01ba6
hex47d4e333

1205134131 has 16 divisors (see below), whose sum is σ = 1703527200. Its totient is φ = 755202048.

The previous prime is 1205134127. The next prime is 1205134163. The reversal of 1205134131 is 1314315021.

It is not a de Polignac number, because 1205134131 - 22 = 1205134127 is a prime.

It is a super-2 number, since 2×12051341312 = 2904696547402250322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1205134098 and 1205134107.

It is not an unprimeable number, because it can be changed into a prime (1205134181) 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, 26655 + ... + 55863.

It is an arithmetic number, because the mean of its divisors is an integer number (106470450).

Almost surely, 21205134131 is an apocalyptic number.

1205134131 is a deficient number, since it is larger than the sum of its proper divisors (498393069).

1205134131 is a wasteful number, since it uses less digits than its factorization.

1205134131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30038.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1205134131 is about 34715.0418550806. The cubic root of 1205134131 is about 1064.1719208294.

Adding to 1205134131 its reverse (1314315021), we get a palindrome (2519449152).

The spelling of 1205134131 in words is "one billion, two hundred five million, one hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 17 51 809 2427 13753 29209 41259 87627 496553 1489659 23630081 70890243 401711377 1205134131