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21310244032 = 267114499631
BaseRepresentation
bin10011110110001100…
…001000010011000000
32001000010222120011111
4103312030020103000
5322120410302112
613442332253104
71353042041230
oct236614102300
961003876144
1021310244032
119046093830
124168911194
132017c8b56c
141062311cc0
1584acd15a7
hex4f63084c0

21310244032 has 112 divisors (see below), whose sum is σ = 52845004800. Its totient is φ = 8283340800.

The previous prime is 21310243961. The next prime is 21310244047. The reversal of 21310244032 is 23044201312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21310243994 and 21310244012.

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 15 ways as a sum of consecutive naturals, for example, 2207857 + ... + 2217487.

It is an arithmetic number, because the mean of its divisors is an integer number (471830400).

Almost surely, 221310244032 is an apocalyptic number.

21310244032 is a gapful number since it is divisible by the number (22) 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 21310244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422502400).

21310244032 is an abundant number, since it is smaller than the sum of its proper divisors (31534760768).

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

21310244032 is a wasteful number, since it uses less digits than its factorization.

21310244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21310244032 its reverse (23044201312), we get a palindrome (44354445344).

The spelling of 21310244032 in words is "twenty-one billion, three hundred ten million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 449 616 704 898 1232 1796 2464 3143 3592 4928 4939 6286 7184 9631 9878 12572 14368 19262 19756 25144 28736 34573 38524 39512 50288 67417 69146 77048 79024 100576 105941 134834 138292 154096 158048 201152 211882 269668 276584 308192 316096 423764 539336 553168 616384 741587 847528 1078672 1106336 1483174 1695056 2157344 2212672 2966348 3390112 4314688 4324319 5932696 6780224 8648638 11865392 17297276 23730784 30270233 34594552 47461568 47567509 60540466 69189104 95135018 121080932 138378208 190270036 242161864 276756416 332972563 380540072 484323728 665945126 761080144 968647456 1331890252 1522160288 1937294912 2663780504 3044320576 5327561008 10655122016 21310244032