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200211200011072 = 2617732125135589
BaseRepresentation
bin101101100001011101001101…
…011101001110101101000000
3222020220000002202201020220201
4231201131031131032231000
5202220230014200323242
61545451431110414544
760112532114636155
oct5541351535165500
9866800082636821
10200211200011072
1158880102a02648
121a556331961454
138793ab1a94a33
1437623b939c22c
151822e459104b7
hexb6174d74eb40

200211200011072 has 56 divisors (see below), whose sum is σ = 420721817894280. Its totient is φ = 94204162129920.

The previous prime is 200211200011027. The next prime is 200211200011073. The reversal of 200211200011072 is 270110002112002.

200211200011072 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 4 ways, for example, as 14013822198016 + 186197377813056 = 3743504^2 + 13645416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211200011073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4602547 + ... + 20533042.

It is an arithmetic number, because the mean of its divisors is an integer number (7512889605255).

Almost surely, 2200211200011072 is an apocalyptic number.

It is an amenable number.

200211200011072 is an abundant number, since it is smaller than the sum of its proper divisors (220510617883208).

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

200211200011072 is a wasteful number, since it uses less digits than its factorization.

200211200011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142939 (or 25142929 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 200211200011072 its reverse (270110002112002), we get a palindrome (470321202123074).

The spelling of 200211200011072 in words is "two hundred trillion, two hundred eleven billion, two hundred million, eleven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 7321 14642 29284 58568 117136 124457 234272 248914 468544 497828 995656 1991312 3982624 7965248 25135589 50271178 100542356 201084712 402169424 427305013 804338848 854610026 1608677696 1709220052 3418440104 6836880208 13673760416 27347520832 184017647069 368035294138 736070588276 1472141176552 2944282353104 3128300000173 5888564706208 6256600000346 11777129412416 12513200000692 25026400001384 50052800002768 100105600005536 200211200011072