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1311221008 = 241922719001
BaseRepresentation
bin100111000100111…
…1010010100010000
310101101021221002001
41032021322110100
510141133033013
6334040003344
744331123526
oct11611722420
93341257061
101311221008
11613171829
12307160554
1317b866526
14c6202316
157a1a9ddd
hex4e27a510

1311221008 has 40 divisors (see below), whose sum is σ = 2686122720. Its totient is φ = 618336000.

The previous prime is 1311220979. The next prime is 1311221039. The reversal of 1311221008 is 8001221131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 59508 + ... + 78508.

It is an arithmetic number, because the mean of its divisors is an integer number (67153068).

Almost surely, 21311221008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311221008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343061360).

1311221008 is an abundant number, since it is smaller than the sum of its proper divisors (1374901712).

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

1311221008 is a wasteful number, since it uses less digits than its factorization.

1311221008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19255 (or 19249 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1311221008 is about 36210.7857964999. The cubic root of 1311221008 is about 1094.5240268523.

Adding to 1311221008 its reverse (8001221131), we get a palindrome (9312442139).

The spelling of 1311221008 in words is "one billion, three hundred eleven million, two hundred twenty-one thousand, eight".

Divisors: 1 2 4 8 16 19 38 76 152 227 304 454 908 1816 3632 4313 8626 17252 19001 34504 38002 69008 76004 152008 304016 361019 722038 1444076 2888152 4313227 5776304 8626454 17252908 34505816 69011632 81951313 163902626 327805252 655610504 1311221008