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131435045540 = 2256571752277
BaseRepresentation
bin111101001101000100…
…0111010001010100100
3110120020221020010000122
41322122020322022210
54123134332424130
6140214101101112
712332040311411
oct1723210721244
9416227203018
10131435045540
1150817725087
12215813b7798
13c5182a39c6
14650bd01108
153643d2c2e5
hex1e9a23a2a4

131435045540 has 12 divisors (see below), whose sum is σ = 276013595676. Its totient is φ = 52574018208.

The previous prime is 131435045527. The next prime is 131435045543. The reversal of 131435045540 is 45540534131.

It can be written as a sum of positive squares in 2 ways, for example, as 46072905316 + 85362140224 = 214646^2 + 292168^2 .

It is a super-2 number, since 2×1314350455402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131435045540.

It is not an unprimeable number, because it can be changed into a prime (131435045543) 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 3 ways as a sum of consecutive naturals, for example, 3285876119 + ... + 3285876158.

It is an arithmetic number, because the mean of its divisors is an integer number (23001132973).

Almost surely, 2131435045540 is an apocalyptic number.

131435045540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131435045540 is an abundant number, since it is smaller than the sum of its proper divisors (144578550136).

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

131435045540 is a wasteful number, since it uses less digits than its factorization.

131435045540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571752286 (or 6571752284 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 131435045540 its reverse (45540534131), we get a palindrome (176975579671).

The spelling of 131435045540 in words is "one hundred thirty-one billion, four hundred thirty-five million, forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6571752277 13143504554 26287009108 32858761385 65717522770 131435045540