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13044101200 = 2452132508481
BaseRepresentation
bin11000010010111110…
…10011000001010000
31020200001202222221021
430021133103001100
5203203242214300
65554204205224
7641150013364
oct141137230120
936601688837
1013044101200
115594067329
122640539814
1312cb5731a0
148ba5692a4
15515263d1a
hex3097d3050

13044101200 has 60 divisors (see below), whose sum is σ = 33749116828. Its totient is φ = 4816281600.

The previous prime is 13044101171. The next prime is 13044101237. The reversal of 13044101200 is 210144031.

It can be written as a sum of positive squares in 6 ways, for example, as 4663797264 + 8380303936 = 68292^2 + 91544^2 .

It is a super-2 number, since 2×130441012002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1249041 + ... + 1259440.

Almost surely, 213044101200 is an apocalyptic number.

13044101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044101200 is an abundant number, since it is smaller than the sum of its proper divisors (20705015628).

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

13044101200 is a wasteful number, since it uses less digits than its factorization.

13044101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508512 (or 2508501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13044101200 its reverse (210144031), we get a palindrome (13254245231).

It can be divided in two parts, 13044 and 101200, that added together give a square (114244 = 3382).

The spelling of 13044101200 in words is "thirteen billion, forty-four million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2508481 5016962 10033924 12542405 20067848 25084810 32610253 40135696 50169620 62712025 65220506 100339240 125424050 130441012 163051265 200678480 250848100 260882024 326102530 501696200 521764048 652205060 815256325 1003392400 1304410120 1630512650 2608820240 3261025300 6522050600 13044101200