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131103386361 = 3214567042929
BaseRepresentation
bin111101000011001011…
…1101110101011111001
3110112101211011002011100
41322012113232223321
54121444431330421
6140121132322013
712320602253133
oct1720627565371
9415354132140
10131103386361
1150667497692
12214aa313309
13c49466c97c
1464b9c4a053
153624b67c26
hex1e865eeaf9

131103386361 has 6 divisors (see below), whose sum is σ = 189371558090. Its totient is φ = 87402257568.

The previous prime is 131103386311. The next prime is 131103386369. The reversal of 131103386361 is 163683301131.

It is a happy number.

131103386361 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 3 + 3 + 8 + 636 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109788846336 + 21314540025 = 331344^2 + 145995^2 .

It is not a de Polignac number, because 131103386361 - 27 = 131103386233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131103386369) 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 5 ways as a sum of consecutive naturals, for example, 7283521456 + ... + 7283521473.

Almost surely, 2131103386361 is an apocalyptic number.

It is an amenable number.

131103386361 is a deficient number, since it is larger than the sum of its proper divisors (58268171729).

131103386361 is a wasteful number, since it uses less digits than its factorization.

131103386361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567042935 (or 14567042932 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 131103386361 its reverse (163683301131), we get a palindrome (294786687492).

The spelling of 131103386361 in words is "one hundred thirty-one billion, one hundred three million, three hundred eighty-six thousand, three hundred sixty-one".

Divisors: 1 3 9 14567042929 43701128787 131103386361