Search a number
-
+
131124044220 = 2235134113812969
BaseRepresentation
bin111101000011110011…
…0100010000110111100
3110112110021000121102020
41322013212202012330
54122020223403340
6140123151200140
712321242662131
oct1720746420674
9415407017366
10131124044220
11506781171a4
12214b5216050
13c498a23660
1464bc8a6588
1536268989d0
hex1e879a21bc

131124044220 has 192 divisors, whose sum is σ = 405462879360. Its totient is φ = 31456051200.

The previous prime is 131124044213. The next prime is 131124044237. The reversal of 131124044220 is 22440421131.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 44162896 + ... + 44165864.

It is an arithmetic number, because the mean of its divisors is an integer number (2111785830).

Almost surely, 2131124044220 is an apocalyptic number.

131124044220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131124044220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202731439680).

131124044220 is an abundant number, since it is smaller than the sum of its proper divisors (274338835140).

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

131124044220 is a wasteful number, since it uses less digits than its factorization.

131124044220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131124044220 its reverse (22440421131), we get a palindrome (153564465351).

The spelling of 131124044220 in words is "one hundred thirty-one billion, one hundred twenty-four million, forty-four thousand, two hundred twenty".