Search a number
-
+
131003223120 = 2432571119124367
BaseRepresentation
bin111101000000001100…
…1101000110001010000
3110112010211200021000200
41322000121220301100
54121243311114440
6140103153415200
712315245011050
oct1720031506120
9415124607020
10131003223120
11506159a4550
122148086a500
13c47999ca93
1464aa815560
15361ae7ec30
hex1e80668c50

131003223120 has 480 divisors, whose sum is σ = 577385902080. Its totient is φ = 25788533760.

The previous prime is 131003223119. The next prime is 131003223179. The reversal of 131003223120 is 21322300131.

131003223120 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 322 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131003223093 and 131003223102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 991177 + ... + 1115543.

It is an arithmetic number, because the mean of its divisors is an integer number (1202887296).

Almost surely, 2131003223120 is an apocalyptic number.

131003223120 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 131003223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288692951040).

131003223120 is an abundant number, since it is smaller than the sum of its proper divisors (446382678960).

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

131003223120 is a wasteful number, since it uses less digits than its factorization.

131003223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124423 (or 124414 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131003223120 its reverse (21322300131), we get a palindrome (152325523251).

The spelling of 131003223120 in words is "one hundred thirty-one billion, three million, two hundred twenty-three thousand, one hundred twenty".