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12513331301300 = 2252687131821101
BaseRepresentation
bin1011011000010111110010…
…1010101100101110110100
31122022021002120111002102222
42312011330222230232310
53120004300303120200
642340313421221512
72431026005044454
oct266057452545664
948267076432388
1012513331301300
113a94968330285
1214a1201401898
136ca00474950b
1431391156bd64
1516a7790e8d85
hexb617caacbb4

12513331301300 has 36 divisors (see below), whose sum is σ = 27154339013676. Its totient is φ = 5005256928000.

The previous prime is 12513331301293. The next prime is 12513331301353. The reversal of 12513331301300 is 310313331521.

It can be written as a sum of positive squares in 6 ways, for example, as 223384788496 + 12289946512804 = 472636^2 + 3505702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12513331301300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5960750 + ... + 7781850.

Almost surely, 212513331301300 is an apocalyptic number.

12513331301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12513331301300 is an abundant number, since it is smaller than the sum of its proper divisors (14641007712376).

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

12513331301300 is a wasteful number, since it uses less digits than its factorization.

12513331301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889828 (or 1889821 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 12513331301300 its reverse (310313331521), we get a palindrome (12823644632821).

The spelling of 12513331301300 in words is "twelve trillion, five hundred thirteen billion, three hundred thirty-one million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 68713 137426 274852 343565 687130 1374260 1717825 1821101 3435650 3642202 6871300 7284404 9105505 18211010 36422020 45527525 91055050 182110100 125133313013 250266626026 500533252052 625666565065 1251333130130 2502666260260 3128332825325 6256665650650 12513331301300