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21220312032 = 2532194877963
BaseRepresentation
bin10011110000110101…
…000100001111100000
32000202212202112122200
4103300311010033200
5321424344441112
613425400533200
71350600450633
oct236065041740
960685675580
1021220312032
118aaa349567
124142781200
13200246156a
1410543c1c1a
15842e69cdc
hex4f0d443e0

21220312032 has 144 divisors (see below), whose sum is σ = 63659756160. Its totient is φ = 6686551296.

The previous prime is 21220312031. The next prime is 21220312037. The reversal of 21220312032 is 23021302212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220311996 and 21220312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220312031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2660883 + ... + 2668845.

It is an arithmetic number, because the mean of its divisors is an integer number (442081640).

Almost surely, 221220312032 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 21220312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31829878080).

21220312032 is an abundant number, since it is smaller than the sum of its proper divisors (42439444128).

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

21220312032 is a wasteful number, since it uses less digits than its factorization.

21220312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21220312032 its reverse (23021302212), we get a palindrome (44241614244).

The spelling of 21220312032 in words is "twenty-one billion, two hundred twenty million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 487 608 684 912 974 1368 1461 1824 1948 2736 2922 3896 4383 5472 5844 7792 7963 8766 9253 11688 15584 15926 17532 18506 23376 23889 27759 31852 35064 37012 46752 47778 55518 63704 70128 71667 74024 83277 95556 111036 127408 140256 143334 148048 151297 166554 191112 222072 254816 286668 296096 302594 333108 382224 444144 453891 573336 605188 666216 764448 888288 907782 1146672 1210376 1332432 1361673 1815564 2293344 2420752 2664864 2723346 3631128 3877981 4841504 5446692 7262256 7755962 10893384 11633943 14524512 15511924 21786768 23267886 31023848 34901829 43573536 46535772 62047696 69803658 73681639 93071544 124095392 139607316 147363278 186143088 221044917 279214632 294726556 372286176 442089834 558429264 589453112 663134751 884179668 1116858528 1178906224 1326269502 1768359336 2357812448 2652539004 3536718672 5305078008 7073437344 10610156016 21220312032