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11122444000 = 25535947129
BaseRepresentation
bin10100101101111001…
…10000011011100000
31001201010211200211101
422112330300123200
5140234321202000
65035400324144
7542424133303
oct122674603340
931633750741
1011122444000
114798369888
1221a4a73654
1310833c8b15
14777264b3a
154516c8e6a
hex296f306e0

11122444000 has 96 divisors (see below), whose sum is σ = 27791618400. Its totient is φ = 4373478400.

The previous prime is 11122443923. The next prime is 11122444007. The reversal of 11122444000 is 44422111.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122444007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212436 + ... + 259564.

It is an arithmetic number, because the mean of its divisors is an integer number (289496025).

Almost surely, 211122444000 is an apocalyptic number.

11122444000 is a gapful number since it is divisible by the number (10) 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 11122444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13895809200).

11122444000 is an abundant number, since it is smaller than the sum of its proper divisors (16669174400).

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

11122444000 is an equidigital number, since it uses as much as digits as its factorization.

11122444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47213 (or 47195 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11122444000 its reverse (44422111), we get a palindrome (11166866111).

The spelling of 11122444000 in words is "eleven billion, one hundred twenty-two million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 236 250 295 400 472 500 590 800 944 1000 1180 1475 1888 2000 2360 2950 4000 4720 5900 7375 9440 11800 14750 23600 29500 47129 47200 59000 94258 118000 188516 235645 236000 377032 471290 754064 942580 1178225 1508128 1885160 2356450 2780611 3770320 4712900 5561222 5891125 7540640 9425800 11122444 11782250 13903055 18851600 22244888 23564500 27806110 37703200 44489776 47129000 55612220 69515275 88979552 94258000 111224440 139030550 188516000 222448880 278061100 347576375 444897760 556122200 695152750 1112244400 1390305500 2224488800 2780611000 5561222000 11122444000