Search a number
-
+
131142004321 = 1672399327337
BaseRepresentation
bin111101000100010101…
…1000010111001100001
3110112111111211002001011
41322020223002321201
54122034323114241
6140125032140521
712321551434006
oct1721053027141
9415444732034
10131142004321
1150687273959
12214bb237741
13c49c671433
1464c101d8ad
153628245281
hex1e88ac2e61

131142004321 has 8 divisors (see below), whose sum is σ = 131982681600. Its totient is φ = 130301986848.

The previous prime is 131142004313. The next prime is 131142004337. The reversal of 131142004321 is 123400241131.

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 131142004321 - 23 = 131142004313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131142004292 and 131142004301.

It is not an unprimeable number, because it can be changed into a prime (131142004361) 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, 236965 + ... + 564301.

It is an arithmetic number, because the mean of its divisors is an integer number (16497835200).

Almost surely, 2131142004321 is an apocalyptic number.

It is an amenable number.

131142004321 is a deficient number, since it is larger than the sum of its proper divisors (840677279).

131142004321 is a wasteful number, since it uses less digits than its factorization.

131142004321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329903.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131142004321 its reverse (123400241131), we get a palindrome (254542245452).

The spelling of 131142004321 in words is "one hundred thirty-one billion, one hundred forty-two million, four thousand, three hundred twenty-one".

Divisors: 1 167 2399 327337 400633 54665279 785281463 131142004321