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20222021101120 = 265251389647219
BaseRepresentation
bin1001001100100010011100…
…11000100110011001000000
32122121012120102100000220221
410212101032120212121000
510122304144400213440
6111001511312512424
74154664351160606
oct446211630463100
978535512300827
1020222021101120
1164971247a7463
1223271b5b4b714
13b38c0b932557
144dca72c13876
1525104b705d4a
hex12644e626640

20222021101120 has 112 divisors (see below), whose sum is σ = 48469891579200. Its totient is φ = 8035858688000.

The previous prime is 20222021101111. The next prime is 20222021101129. The reversal of 20222021101120 is 2110112022202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20222021101111) and next prime (20222021101129).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20222021101094 and 20222021101103.

It is not an unprimeable number, because it can be changed into a prime (20222021101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30920871 + ... + 31568089.

It is an arithmetic number, because the mean of its divisors is an integer number (432766889100).

Almost surely, 220222021101120 is an apocalyptic number.

20222021101120 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 20222021101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24234945789600).

20222021101120 is an abundant number, since it is smaller than the sum of its proper divisors (28247870478080).

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

20222021101120 is a wasteful number, since it uses less digits than its factorization.

20222021101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647876 (or 647866 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20222021101120 its reverse (2110112022202), we get a palindrome (22332133123322).

The spelling of 20222021101120 in words is "twenty trillion, two hundred twenty-two billion, twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 251 320 389 502 778 1004 1255 1556 1945 2008 2510 3112 3890 4016 5020 6224 7780 8032 10040 12448 15560 16064 20080 24896 31120 40160 62240 80320 97639 124480 195278 390556 488195 647219 781112 976390 1294438 1562224 1952780 2588876 3124448 3236095 3905560 5177752 6248896 6472190 7811120 10355504 12944380 15622240 20711008 25888760 31244480 41422016 51777520 103555040 162451969 207110080 251768191 324903938 503536382 649807876 812259845 1007072764 1258840955 1299615752 1624519690 2014145528 2517681910 2599231504 3249039380 4028291056 5035363820 5198463008 6498078760 8056582112 10070727640 10396926016 12996157520 16113164224 20141455280 25992315040 40282910560 51984630080 63193815941 80565821120 126387631882 252775263764 315969079705 505550527528 631938159410 1011101055056 1263876318820 2022202110112 2527752637640 4044404220224 5055505275280 10111010550560 20222021101120