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1100103424 = 2871374481
BaseRepresentation
bin100000110010010…
…0011111100000000
32211200001001012021
41001210203330000
54223111302144
6301055011224
736155503420
oct10144437400
92750031167
101100103424
11514a85a92
12268509b14
13146bb8a94
14a6168480
15668a6884
hex41923f00

1100103424 has 72 divisors (see below), whose sum is σ = 2528493408. Its totient is φ = 467927040.

The previous prime is 1100103421. The next prime is 1100103449. The reversal of 1100103424 is 4243010011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1100103398 and 1100103407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100103421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243264 + ... + 247744.

It is an arithmetic number, because the mean of its divisors is an integer number (35117964).

Almost surely, 21100103424 is an apocalyptic number.

1100103424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264246704).

1100103424 is an abundant number, since it is smaller than the sum of its proper divisors (1428389984).

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

1100103424 is an equidigital number, since it uses as much as digits as its factorization.

1100103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1100103424 is about 33167.8070423717. The cubic root of 1100103424 is about 1032.3124667269.

Adding to 1100103424 its reverse (4243010011), we get a palindrome (5343113435).

The spelling of 1100103424 in words is "one billion, one hundred million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 448 548 896 959 1096 1792 1918 2192 3836 4384 4481 7672 8768 8962 15344 17536 17924 30688 31367 35072 35848 61376 62734 71696 122752 125468 143392 245504 250936 286784 501872 573568 613897 1003744 1147136 1227794 2007488 2455588 4014976 4297279 4911176 8029952 8594558 9822352 17189116 19644704 34378232 39289408 68756464 78578816 137512928 157157632 275025856 550051712 1100103424