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11034440105 = 513214987641
BaseRepresentation
bin10100100011011010…
…00011000110101001
31001111000020122011212
422101231003012221
5140044304040410
65022534202505
7540305123213
oct122155030651
931430218155
1011034440105
114752721197
12217b4b3435
13106b0c5600
147696b75b3
15448ae3b05
hex291b431a9

11034440105 has 24 divisors (see below), whose sum is σ = 14434637400. Its totient is φ = 8093729280.

The previous prime is 11034440083. The next prime is 11034440113. The reversal of 11034440105 is 50104443011.

It can be written as a sum of positive squares in 12 ways, for example, as 4541142544 + 6493297561 = 67388^2 + 80581^2 .

It is not a de Polignac number, because 11034440105 - 210 = 11034439081 is a prime.

It is a super-2 number, since 2×110344401052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82085 + ... + 169725.

It is an arithmetic number, because the mean of its divisors is an integer number (601443225).

Almost surely, 211034440105 is an apocalyptic number.

It is an amenable number.

11034440105 is a deficient number, since it is larger than the sum of its proper divisors (3400197295).

11034440105 is a wasteful number, since it uses less digits than its factorization.

11034440105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87821 (or 87808 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 11034440105 its reverse (50104443011), we get a palindrome (61138883116).

The spelling of 11034440105 in words is "eleven billion, thirty-four million, four hundred forty thousand, one hundred five".

Divisors: 1 5 13 65 149 169 745 845 1937 9685 25181 87641 125905 438205 1139333 5696665 13058509 14811329 65292545 74056645 169760617 848803085 2206888021 11034440105