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123011303424 = 211335815591
BaseRepresentation
bin111001010010000001…
…0111000100000000000
3102202111212110200012220
41302210002320200000
54003411343202144
6132302143051040
711613222553452
oct1624402704000
9382455420186
10123011303424
1148194745a39
121ba102a0a80
13b7a5028809
145d4d2522d2
1532ee52d919
hex1ca40b8800

123011303424 has 96 divisors (see below), whose sum is σ = 328100310720. Its totient is φ = 40984985600.

The previous prime is 123011303423. The next prime is 123011303497. The reversal of 123011303424 is 424303110321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123011303394 and 123011303403.

It is not an unprimeable number, because it can be changed into a prime (123011303423) 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, 21998869 + ... + 22004459.

It is an arithmetic number, because the mean of its divisors is an integer number (3417711570).

Almost surely, 2123011303424 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 123011303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164050155360).

123011303424 is an abundant number, since it is smaller than the sum of its proper divisors (205089007296).

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

123011303424 is an equidigital number, since it uses as much as digits as its factorization.

123011303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123011303424 its reverse (424303110321), we get a palindrome (547314413745).

The spelling of 123011303424 in words is "one hundred twenty-three billion, eleven million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3581 5591 6144 7162 10743 11182 14324 16773 21486 22364 28648 33546 42972 44728 57296 67092 85944 89456 114592 134184 171888 178912 229184 268368 343776 357824 458368 536736 687552 715648 916736 1073472 1375104 1431296 1833472 2146944 2750208 2862592 3666944 4293888 5500416 5725184 7333888 8587776 11000832 11450368 17175552 20021371 22001664 34351104 40042742 60064113 80085484 120128226 160170968 240256452 320341936 480512904 640683872 961025808 1281367744 1922051616 2562735488 3844103232 5125470976 7688206464 10250941952 15376412928 20501883904 30752825856 41003767808 61505651712 123011303424