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11200122100211 = 116597612030299
BaseRepresentation
bin1010001011111011101101…
…0011001001100111110011
31110122201110202200200210212
42202332323103021213303
52432000322224201321
635453133130414335
72234116316026532
oct242767323114763
943581422620725
1011200122100211
113628a43a36880
12130a7aa2913ab
13633222b24075
142aa13595c319
1514651a6eb55b
hexa2fbb4c99f3

11200122100211 has 16 divisors (see below), whose sum is σ = 12252941712000. Its totient is φ = 10153114238400.

The previous prime is 11200122100169. The next prime is 11200122100261.

11200122100211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11200122100211 - 214 = 11200122083827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11200122100261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501340 + ... + 6531638.

It is an arithmetic number, because the mean of its divisors is an integer number (765808857000).

Almost surely, 211200122100211 is an apocalyptic number.

11200122100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11200122100211 is a deficient number, since it is larger than the sum of its proper divisors (1052819611789).

11200122100211 is a wasteful number, since it uses less digits than its factorization.

11200122100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031730.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1120012 and 2100211, that added together give a palindrome (3220223).

The spelling of 11200122100211 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, one hundred thousand, two hundred eleven".

Divisors: 1 11 659 761 7249 8371 501499 2030299 5516489 22333289 1337967041 1545057539 14717637451 16995632929 1018192918201 11200122100211