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1108008011 = 11267971409
BaseRepresentation
bin100001000001010…
…1101110001001011
32212012220122020202
41002002231301023
54232122224021
6301540242415
736312625025
oct10202556113
92765818222
101108008011
11519494900
1226b0a040b
13148725956
14a7225015
1567418a0b
hex420adc4b

1108008011 has 24 divisors (see below), whose sum is σ = 1249699920. Its totient is φ = 981319680.

The previous prime is 1108008007. The next prime is 1108008019.

1108008011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1108008011 - 22 = 1108008007 is a prime.

It is a super-2 number, since 2×11080080112 = 2455363504880352242, which contains 22 as substring.

1108008011 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1108008019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785675 + ... + 787083.

It is an arithmetic number, because the mean of its divisors is an integer number (52070830).

Almost surely, 21108008011 is an apocalyptic number.

1108008011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1108008011 is a deficient number, since it is larger than the sum of its proper divisors (141691909).

1108008011 is a wasteful number, since it uses less digits than its factorization.

1108008011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 1108008011 is about 33286.7542875541. The cubic root of 1108008011 is about 1034.7790642948.

It can be divided in two parts, 110800 and 8011, that added together give a palindrome (118811).

The spelling of 1108008011 in words is "one billion, one hundred eight million, eight thousand, eleven".

Divisors: 1 11 67 97 121 737 1067 1409 6499 8107 11737 15499 71489 94403 136673 170489 786379 1038433 1503403 9157091 11422763 16537433 100728001 1108008011