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13335012500 = 22551762753
BaseRepresentation
bin11000110101101010…
…00010010010010100
31021102100011211012212
430122311002102110
5204302230400000
610043115332552
7651311510315
oct143265022224
937370154185
1013335012500
1157232a3297
122701a51158
13134690b154
1490705460c
15530a79c35
hex31ad42494

13335012500 has 72 divisors (see below), whose sum is σ = 30884757624. Its totient is φ = 5020160000.

The previous prime is 13335012469. The next prime is 13335012503. The reversal of 13335012500 is 521053331.

It can be written as a sum of positive squares in 12 ways, for example, as 12796586884 + 538425616 = 113122^2 + 23204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13335012503) 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, 181124 + ... + 243876.

It is an arithmetic number, because the mean of its divisors is an integer number (428954967).

Almost surely, 213335012500 is an apocalyptic number.

13335012500 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 13335012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15442378812).

13335012500 is an abundant number, since it is smaller than the sum of its proper divisors (17549745124).

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

13335012500 is an equidigital number, since it uses as much as digits as its factorization.

13335012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62799 (or 62777 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

Adding to 13335012500 its reverse (521053331), we get a palindrome (13856065831).

The spelling of 13335012500 in words is "thirteen billion, three hundred thirty-five million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 625 850 1250 1700 2125 2500 3125 4250 6250 8500 10625 12500 21250 42500 53125 62753 106250 125506 212500 251012 313765 627530 1066801 1255060 1568825 2133602 3137650 4267204 5334005 6275300 7844125 10668010 15688250 21336020 26670025 31376500 39220625 53340050 78441250 106680100 133350125 156882500 196103125 266700250 392206250 533400500 666750625 784412500 1333501250 2667002500 3333753125 6667506250 13335012500