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1313112500 = 2255743349
BaseRepresentation
bin100111001000100…
…1000000110110100
310101111212000201022
41032101020012310
510142124100000
6334144320312
744353162220
oct11621100664
93344760638
101313112500
11614243947
12307913098
1317c07945b
14c6575780
157a430585
hex4e4481b4

1313112500 has 144 divisors (see below), whose sum is σ = 3368534400. Its totient is φ = 438480000.

The previous prime is 1313112491. The next prime is 1313112503. The reversal of 1313112500 is 52113131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313112503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3762326 + ... + 3762674.

It is an arithmetic number, because the mean of its divisors is an integer number (23392600).

Almost surely, 21313112500 is an apocalyptic number.

1313112500 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 1313112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684267200).

1313112500 is an abundant number, since it is smaller than the sum of its proper divisors (2055421900).

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

1313112500 is an equidigital number, since it uses as much as digits as its factorization.

1313112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1313112500 is about 36236.8941825869. The cubic root of 1313112500 is about 1095.0500731187.

Adding to 1313112500 its reverse (52113131), we get a palindrome (1365225631).

The spelling of 1313112500 in words is "one billion, three hundred thirteen million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 125 140 172 175 215 250 301 349 350 430 500 602 625 698 700 860 875 1075 1204 1250 1396 1505 1745 1750 2150 2443 2500 3010 3125 3490 3500 4300 4375 4886 5375 6020 6250 6980 7525 8725 8750 9772 10750 12215 12500 15007 15050 17450 17500 21500 21875 24430 26875 30014 30100 34900 37625 43625 43750 48860 53750 60028 61075 75035 75250 87250 87500 105049 107500 122150 134375 150070 150500 174500 188125 210098 218125 244300 268750 300140 305375 375175 376250 420196 436250 525245 537500 610750 750350 752500 872500 940625 1050490 1090625 1221500 1500700 1526875 1875875 1881250 2100980 2181250 2626225 3053750 3751750 3762500 4362500 5252450 6107500 7503500 7634375 9379375 10504900 13131125 15268750 18758750 26262250 30537500 37517500 46896875 52524500 65655625 93793750 131311250 187587500 262622500 328278125 656556250 1313112500