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131485286881 = 132278932
BaseRepresentation
bin111101001110100100…
…0100100000111100001
3110120101102202122012001
41322131020210013201
54123240213140011
6140223054004001
712333220332544
oct1723510440741
9416342678161
10131485286881
1150843020153
12215961a6601
13c525814c00
14651485c85b
1536484537c1
hex1e9d2241e1

131485286881 has 9 divisors (see below), whose sum is σ = 142382663769. Its totient is φ = 121366682736.

The previous prime is 131485286851. The next prime is 131485286909. The reversal of 131485286881 is 188682584131.

The square root of 131485286881 is 362609.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17268325281 + 114216961600 = 131409^2 + 337960^2 .

It is not a de Polignac number, because 131485286881 - 215 = 131485254113 is a prime.

It is a super-2 number, since 2×1314852868812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131485286851) 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 8 ways as a sum of consecutive naturals, for example, 4699971 + ... + 4727863.

Almost surely, 2131485286881 is an apocalyptic number.

131485286881 is the 362609-th square number.

131485286881 is the 181305-th centered octagonal number.

It is an amenable number.

131485286881 is a deficient number, since it is larger than the sum of its proper divisors (10897376888).

131485286881 is an frugal number, since it uses more digits than its factorization.

131485286881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55812 (or 27906 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 55.

The spelling of 131485286881 in words is "one hundred thirty-one billion, four hundred eighty-five million, two hundred eighty-six thousand, eight hundred eighty-one".

Divisors: 1 13 169 27893 362609 4713917 778019449 10114252837 131485286881