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131142040113132 = 22329478938430983
BaseRepresentation
bin11101110100010111100010…
…101101110100111111101100
3122012100001112020222002002200
4131310113202231310333230
5114142112344232110012
61142525453241021500
736423462002410506
oct3564274255647754
9565301466862080
10131142040113132
1138871032861474
1212860257a84890
135823844c93239
142455446b70d76
15102648abb93dc
hex7745e2b74fec

131142040113132 has 36 divisors (see below), whose sum is σ = 331501440575760. Its totient is φ = 43713551061792.

The previous prime is 131142040113103. The next prime is 131142040113197. The reversal of 131142040113132 is 231311040241131.

131142040113132 is a `hidden beast` number, since 1 + 3 + 114 + 2 + 0 + 401 + 13 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 131142040113096 and 131142040113105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15803088 + ... + 22627895.

Almost surely, 2131142040113132 is an apocalyptic number.

131142040113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131142040113132 is an abundant number, since it is smaller than the sum of its proper divisors (200359400462628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131142040113132 is a wasteful number, since it uses less digits than its factorization.

131142040113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38525782 (or 38525777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131142040113132 its reverse (231311040241131), we get a palindrome (362453080354263).

The spelling of 131142040113132 in words is "one hundred thirty-one trillion, one hundred forty-two billion, forty million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 94789 189578 284367 379156 568734 853101 1137468 1706202 3412404 38430983 76861966 115292949 153723932 230585898 345878847 461171796 691757694 1383515388 3642834447587 7285668895174 10928503342761 14571337790348 21857006685522 32785510028283 43714013371044 65571020056566 131142040113132