Search a number
-
+
131131000300 = 225210956921143
BaseRepresentation
bin111101000100000000…
…1000100010111101100
3110112110202010000100211
41322020001010113230
54122024014002200
6140124000232204
712321356053216
oct1721001042754
9415422100324
10131131000300
1150681038423
12214b760b664
13c49a2ba891
1464bd7975b6
1536272beaba
hex1e880445ec

131131000300 has 72 divisors (see below), whose sum is σ = 287683149600. Its totient is φ = 51877393920.

The previous prime is 131131000283. The next prime is 131131000307. The reversal of 131131000300 is 3000131131.

It is a happy number.

It is a super-4 number, since 4×1311310003004 (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (131131000307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6191529 + ... + 6212671.

It is an arithmetic number, because the mean of its divisors is an integer number (3995599300).

Almost surely, 2131131000300 is an apocalyptic number.

131131000300 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 131131000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143841574800).

131131000300 is an abundant number, since it is smaller than the sum of its proper divisors (156552149300).

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

131131000300 is a wasteful number, since it uses less digits than its factorization.

131131000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21835 (or 21828 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 131131000300 its reverse (3000131131), we get a palindrome (134131131431).

The spelling of 131131000300 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 569 1090 1138 2180 2276 2725 2845 5450 5690 10900 11380 14225 21143 28450 42286 56900 62021 84572 105715 124042 211430 248084 310105 422860 528575 620210 1057150 1240420 1550525 2114300 2304587 3101050 4609174 6202100 9218348 11522935 12030367 23045870 24060734 46091740 48121468 57614675 60151835 115229350 120303670 230458700 240607340 300759175 601518350 1203036700 1311310003 2622620006 5245240012 6556550015 13113100030 26226200060 32782750075 65565500150 131131000300