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11000201820191 = 7313113761313697
BaseRepresentation
bin1010000000010010111100…
…0111110011100000011111
31102221121102222102012120022
42200010233013303200133
52420211403131221231
635221231205142355
72213511153501353
oct240045707634037
942847388365508
1011000201820191
113561183175461
121297ab53ba9bb
1361a41219799c
142a05ac2ad463
15141219272c7b
hexa012f1f381f

11000201820191 has 32 divisors (see below), whose sum is σ = 11337316486848. Its totient is φ = 10669889617920.

The previous prime is 11000201820187. The next prime is 11000201820197. The reversal of 11000201820191 is 19102810200011.

It is a cyclic number.

It is not a de Polignac number, because 11000201820191 - 22 = 11000201820187 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11000201820191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000201820197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803103455 + ... + 803117151.

It is an arithmetic number, because the mean of its divisors is an integer number (354291140214).

Almost surely, 211000201820191 is an apocalyptic number.

11000201820191 is a deficient number, since it is larger than the sum of its proper divisors (337114666657).

11000201820191 is a wasteful number, since it uses less digits than its factorization.

11000201820191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14651.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 11000201820191 in words is "eleven trillion, two hundred one million, eight hundred twenty thousand, one hundred ninety-one".

Divisors: 1 73 131 137 613 9563 10001 13697 17947 44749 80303 83981 999881 1310131 1794307 1876489 5862119 6130613 8396261 11001511 130984411 136983697 245820059 612927053 803110303 1099910191 1150287757 17944864307 80293443943 83971006261 150687696167 11000201820191