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11222003000131 = 7111919471393947
BaseRepresentation
bin1010001101001101001110…
…0000001010001101000011
31110201210221200110120200121
42203103103200022031003
52432330130232001011
635511152250201111
72235522460432630
oct243232340121503
943653850416617
1011222003000131
113637252155840
121312a96123197
136352cc0a5921
142ab20d979187
15146d9b650e71
hexa34d380a343

11222003000131 has 32 divisors (see below), whose sum is σ = 14728234475520. Its totient is φ = 8283738909600.

The previous prime is 11222003000111. The next prime is 11222003000147. The reversal of 11222003000131 is 13100030022211.

It is not a de Polignac number, because 11222003000131 - 25 = 11222003000099 is a prime.

It is a super-3 number, since 3×112220030001313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11222003000111) 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, 28289100 + ... + 28683046.

It is an arithmetic number, because the mean of its divisors is an integer number (460257327360).

Almost surely, 211222003000131 is an apocalyptic number.

11222003000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11222003000131 is a deficient number, since it is larger than the sum of its proper divisors (3506231475389).

11222003000131 is a wasteful number, since it uses less digits than its factorization.

11222003000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413455.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11222003000131 its reverse (13100030022211), we get a palindrome (24322033022342).

The spelling of 11222003000131 in words is "eleven trillion, two hundred twenty-two billion, three million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 11 19 77 133 209 1463 19471 136297 214181 369949 393947 1499267 2589643 2757629 4069439 4333417 7484993 28486073 30333919 52394951 82334923 576344461 7670542037 53693794259 84375962407 145740298703 590631736849 1020182090921 1603143285733 11222003000131