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13044103202000 = 245313501696277
BaseRepresentation
bin1011110111010001000100…
…1000110100010011010000
31201012000002222110022202102
42331310101020310103100
53202203310404431000
643424213413135532
72514256015545263
oct275642110642320
951160088408672
1013044103202000
114179a78220172
12156804b92a5a8
13738090b54450
143314a352ccda
151794914cc3d5
hexbdd112344d0

13044103202000 has 80 divisors (see below), whose sum is σ = 33966844805712. Its totient is φ = 4816284249600.

The previous prime is 13044103201999. The next prime is 13044103202003. The reversal of 13044103202000 is 20230144031.

It can be written as a sum of positive squares in 8 ways, for example, as 2519165747344 + 10524937454656 = 1587188^2 + 3244216^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044103202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250822139 + ... + 250874138.

Almost surely, 213044103202000 is an apocalyptic number.

13044103202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044103202000 is an abundant number, since it is smaller than the sum of its proper divisors (20922741603712).

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

13044103202000 is a wasteful number, since it uses less digits than its factorization.

13044103202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501696313 (or 501696297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13044103202000 its reverse (20230144031), we get a palindrome (13064333346031).

The spelling of 13044103202000 in words is "thirteen trillion, forty-four billion, one hundred three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 501696277 1003392554 2006785108 2508481385 4013570216 5016962770 6522051601 8027140432 10033925540 12542406925 13044103202 20067851080 25084813850 26088206404 32610258005 40135702160 50169627700 52176412808 62712034625 65220516010 100339255400 104352825616 125424069250 130441032020 163051290025 200678510800 250848138500 260882064040 326102580050 501696277000 521764128080 652205160100 815256450125 1003392554000 1304410320200 1630512900250 2608820640400 3261025800500 6522051601000 13044103202000