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13531355300 = 2252892935189
BaseRepresentation
bin11001001101000100…
…00001100010100100
31021221000122001220102
430212202001202210
5210203011332200
610114411523232
7656214423311
oct144642014244
937830561812
1013531355300
115814108571
122757759518
1313784b4918
14925163d08
15542e106d5
hex3268818a4

13531355300 has 72 divisors (see below), whose sum is σ = 29800045800. Its totient is φ = 5332433920.

The previous prime is 13531355297. The next prime is 13531355333. The reversal of 13531355300 is 355313531.

It can be written as a sum of positive squares in 12 ways, for example, as 965842084 + 12565513216 = 31078^2 + 112096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2605106 + ... + 2610294.

It is an arithmetic number, because the mean of its divisors is an integer number (413889525).

Almost surely, 213531355300 is an apocalyptic number.

13531355300 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 13531355300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900022900).

13531355300 is an abundant number, since it is smaller than the sum of its proper divisors (16268690500).

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

13531355300 is a wasteful number, since it uses less digits than its factorization.

13531355300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 29.

Adding to 13531355300 its reverse (355313531), we get a palindrome (13886668831).

The spelling of 13531355300 in words is "thirteen billion, five hundred thirty-one million, three hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 293 356 445 586 890 1172 1465 1780 2225 2930 4450 5189 5860 7325 8900 10378 14650 20756 25945 26077 29300 51890 52154 103780 104308 129725 130385 259450 260770 461821 518900 521540 651925 923642 1303850 1520377 1847284 2309105 2607700 3040754 4618210 6081508 7601885 9236420 11545525 15203770 23091050 30407540 38009425 46182100 76018850 135313553 152037700 270627106 541254212 676567765 1353135530 2706271060 3382838825 6765677650 13531355300