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131330400041 = 1993971662347
BaseRepresentation
bin111101001001111100…
…1101101111100101001
3110112222122022120101102
41322103321231330221
54122431040300131
6140155442131145
712326326660451
oct1722371557451
9415878276342
10131330400041
11507736503a5
1221552350ab5
13c4cc6c48a9
1464dc060d61
153639a5b1cb
hex1e93e6df29

131330400041 has 8 divisors (see below), whose sum is σ = 132322900800. Its totient is φ = 130341225168.

The previous prime is 131330400031. The next prime is 131330400043. The reversal of 131330400041 is 140004033131.

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 131330400041 - 226 = 131263291177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131330399986 and 131330400022.

It is not an unprimeable number, because it can be changed into a prime (131330400043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752171 + ... + 910176.

It is an arithmetic number, because the mean of its divisors is an integer number (16540362600).

Almost surely, 2131330400041 is an apocalyptic number.

It is an amenable number.

131330400041 is a deficient number, since it is larger than the sum of its proper divisors (992500759).

131330400041 is a wasteful number, since it uses less digits than its factorization.

131330400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662943.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131330400041 its reverse (140004033131), we get a palindrome (271334433172).

The spelling of 131330400041 in words is "one hundred thirty-one billion, three hundred thirty million, four hundred thousand, forty-one".

Divisors: 1 199 397 79003 1662347 330807053 659951759 131330400041