Search a number
-
+
131041144032 = 2531365011917
BaseRepresentation
bin111101000001010101…
…0010010110011100000
3110112020111000211201220
41322002222102303200
54121333013102112
6140111030255040
712316215226461
oct1720252226340
9415214024656
10131041144032
1150635345047
12214914b7480
13c4847b91a6
1464b1886d68
15361e47098c
hex1e82a92ce0

131041144032 has 24 divisors (see below), whose sum is σ = 343983003336. Its totient is φ = 43680381312.

The previous prime is 131041144007. The next prime is 131041144033. The reversal of 131041144032 is 230441140131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131041143993 and 131041144011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041144033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 682505863 + ... + 682506054.

It is an arithmetic number, because the mean of its divisors is an integer number (14332625139).

Almost surely, 2131041144032 is an apocalyptic number.

131041144032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131041144032 is an abundant number, since it is smaller than the sum of its proper divisors (212941859304).

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

131041144032 is a wasteful number, since it uses less digits than its factorization.

131041144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365011930 (or 1365011922 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131041144032 its reverse (230441140131), we get a palindrome (361482284163).

The spelling of 131041144032 in words is "one hundred thirty-one billion, forty-one million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1365011917 2730023834 4095035751 5460047668 8190071502 10920095336 16380143004 21840190672 32760286008 43680381344 65520572016 131041144032