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21222022001020 = 2252385760298929
BaseRepresentation
bin1001101001101001000110…
…00101010011000101111100
32210010210202012110011211121
410310310203011103011330
510240200200113013040
6113045132354400324
74320145326445351
oct464644305230574
983123665404747
1021222022001020
116842233187475
122468b782900a4
13bac2c7154879
14535219412628
1526c078098c4a
hex134d2315317c

21222022001020 has 96 divisors (see below), whose sum is σ = 46571110185600. Its totient is φ = 8108002197504.

The previous prime is 21222022000979. The next prime is 21222022001021. The reversal of 21222022001020 is 2010022022212.

It is a junction number, because it is equal to n+sod(n) for n = 21222022000985 and 21222022001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222022001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376747916 + ... + 2376756844.

It is an arithmetic number, because the mean of its divisors is an integer number (485115731100).

Almost surely, 221222022001020 is an apocalyptic number.

21222022001020 is a gapful number since it is divisible by the number (20) 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 21222022001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23285555092800).

21222022001020 is an abundant number, since it is smaller than the sum of its proper divisors (25349088184580).

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

21222022001020 is a wasteful number, since it uses less digits than its factorization.

21222022001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15845 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21222022001020 its reverse (2010022022212), we get a palindrome (23232044023232).

The spelling of 21222022001020 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 857 1714 3428 4285 6029 8570 8929 12058 17140 17858 19711 24116 30145 35716 39422 44645 60290 78844 89290 98555 120580 138667 178580 197110 205367 277334 394220 410734 554668 693335 821468 1026835 1386670 2053670 2773340 4107340 5166853 7652153 10333706 15304306 20667412 25834265 30608612 38260765 51668530 53832941 76521530 103337060 107665882 118837619 153043060 175999519 215331764 237675238 269164705 351999038 475350476 538329410 594188095 703998076 879997595 1076658820 1188376190 1238157643 1759995190 2376752380 2476315286 3519990380 4952630572 6190788215 12381576430 24763152860 46134830437 92269660874 184539321748 230674152185 461348304370 922696608740 1061101100051 2122202200102 4244404400204 5305505500255 10611011000510 21222022001020