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13211101210000 = 24543358139341
BaseRepresentation
bin1100000000111111001011…
…1111101010010110010000
31201202222011100200010000211
43000033302333222112100
53212422313402210000
644033032432053504
72532320255313211
oct300176277522620
951688140603024
1013211101210000
114233884247311
121594497094294
1374aa55b7a3b5
143395c6601408
1517d9b74dd7ba
hexc03f2fea590

13211101210000 has 100 divisors (see below), whose sum is σ = 31987162678284. Its totient is φ = 5284148800000.

The previous prime is 13211101209997. The next prime is 13211101210001. The reversal of 13211101210000 is 1210111231.

It is a happy number.

13211101210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 12933431230864 + 277669979136 = 3596308^2 + 526944^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (13211101210001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 335790330 + ... + 335829670.

Almost surely, 213211101210000 is an apocalyptic number.

13211101210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13211101210000 is an abundant number, since it is smaller than the sum of its proper divisors (18776061468284).

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

13211101210000 is an equidigital number, since it uses as much as digits as its factorization.

13211101210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72950 (or 72929 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 13211101210000 its reverse (1210111231), we get a palindrome (13212311321231).

The spelling of 13211101210000 in words is "thirteen trillion, two hundred eleven billion, one hundred one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 33581 39341 67162 78682 134324 157364 167905 196705 268648 314728 335810 393410 537296 629456 671620 786820 839525 983525 1343240 1573640 1679050 1967050 2686480 3147280 3358100 3934100 4197625 4917625 6716200 7868200 8395250 9835250 13432400 15736400 16790500 19670500 20988125 24588125 33581000 39341000 41976250 49176250 67162000 78682000 83952500 98352500 167905000 196705000 335810000 393410000 1321110121 2642220242 5284440484 6605550605 10568880968 13211101210 21137761936 26422202420 33027753025 52844404840 66055506050 105688809680 132111012100 165138765125 264222024200 330277530250 528444048400 660555060500 825693825625 1321110121000 1651387651250 2642220242000 3302775302500 6605550605000 13211101210000