Search a number
-
+
131111042144 = 255377306039
BaseRepresentation
bin111101000011011010…
…0111011110001100000
3110112102100120000220212
41322012310323301200
54122003411322034
6140122004353252
712321024320165
oct1720664736140
9415370500825
10131111042144
1150670846585
12214b09a5828
13c496120514
1464bac8006c
15362567b2ce
hex1e86d3bc60

131111042144 has 24 divisors (see below), whose sum is σ = 262995148080. Its totient is φ = 64318623616.

The previous prime is 131111042143. The next prime is 131111042147. The reversal of 131111042144 is 441240111131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111042143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38651324 + ... + 38654715.

It is an arithmetic number, because the mean of its divisors is an integer number (10958131170).

Almost surely, 2131111042144 is an apocalyptic number.

It is an amenable number.

131111042144 is an abundant number, since it is smaller than the sum of its proper divisors (131884105936).

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

131111042144 is an equidigital number, since it uses as much as digits as its factorization.

131111042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77306102 (or 77306094 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 131111042144 its reverse (441240111131), we get a palindrome (572351153275).

The spelling of 131111042144 in words is "one hundred thirty-one billion, one hundred eleven million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 77306039 154612078 309224156 618448312 1236896624 2473793248 4097220067 8194440134 16388880268 32777760536 65555521072 131111042144