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11000101112 = 23711131373639
BaseRepresentation
bin10100011111010100…
…00011100011111000
31001101121122000221022
422033222003203320
5140012011213422
65015310202012
7536410213430
oct121752034370
931347560838
1011000101112
1147352a7860
12216bab3308
131063c61690
14764cd92c0
15445aae342
hex28fa838f8

11000101112 has 64 divisors (see below), whose sum is σ = 27692582400. Its totient is φ = 3956077440.

The previous prime is 11000101087. The next prime is 11000101117. The reversal of 11000101112 is 21110100011.

It is a happy number.

11000101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11000101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678812 + ... + 694827.

It is an arithmetic number, because the mean of its divisors is an integer number (432696600).

Almost surely, 211000101112 is an apocalyptic number.

It is an amenable number.

11000101112 is an abundant number, since it is smaller than the sum of its proper divisors (16692481288).

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

11000101112 is a wasteful number, since it uses less digits than its factorization.

11000101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373676 (or 1373672 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11000101112 its reverse (21110100011), we get a palindrome (32110201123).

The spelling of 11000101112 in words is "eleven billion, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 1373639 2747278 5494556 9615473 10989112 15110029 17857307 19230946 30220058 35714614 38461892 60440116 71429228 76923784 105770203 120880232 125001149 142858456 196430377 211540406 250002298 392860754 423080812 500004596 785721508 846161624 1000009192 1375012639 1571443016 2750025278 5500050556 11000101112