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20221322010032 = 24111329917295417
BaseRepresentation
bin1001001100100001001001…
…01101110001110110110000
32122121010202200212112020102
410212100210231301312300
510122301231413310112
6111001314100531532
74154641132043303
oct446204455616660
978533680775212
1020221322010032
1164968a6118a30
12232703b9b0ba8
13b38b29b50aa0
144dca08034b3a
1525100a162bc2
hex126424b71db0

20221322010032 has 80 divisors (see below), whose sum is σ = 46029948290592. Its totient is φ = 8484158453760.

The previous prime is 20221322009981. The next prime is 20221322010059. The reversal of 20221322010032 is 23001022312202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20221322009986 and 20221322010013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68302388 + ... + 68597804.

Almost surely, 220221322010032 is an apocalyptic number.

20221322010032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20221322010032 is an abundant number, since it is smaller than the sum of its proper divisors (25808626280560).

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

20221322010032 is a wasteful number, since it uses less digits than its factorization.

20221322010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325366 (or 325360 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20221322010032 its reverse (23001022312202), we get a palindrome (43222344322234).

The spelling of 20221322010032 in words is "twenty trillion, two hundred twenty-one billion, three hundred twenty-two million, ten thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 29917 59834 119668 239336 295417 329087 388921 478672 590834 658174 777842 1181668 1316348 1555684 2363336 2632696 3111368 3249587 3840421 4278131 4726672 5265392 6222736 6499174 7680842 8556262 12998348 15361684 17112524 25996696 30723368 34225048 42244631 51993392 61446736 68450096 84489262 168978524 337957048 675914096 8837990389 17675980778 35351961556 70703923112 97217894279 114893875057 141407846224 194435788558 229787750114 388871577116 459575500228 777743154232 919151000456 1263832625627 1555486308464 1838302000912 2527665251254 5055330502508 10110661005016 20221322010032