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20221010110120 = 2353732574194917
BaseRepresentation
bin1001001100100000100100…
…00111111110011010101000
32122121002221221222100222211
410212100102013332122220
510122300112042010440
6111001223115454504
74154630323662151
oct446202207763250
978532857870884
1020221010110120
116496756056a06
122326b73457434
13b38aaa347721
144dc9b8844928
15250edcaa2eea
hex1264121fe6a8

20221010110120 has 64 divisors (see below), whose sum is σ = 46741286526480. Its totient is φ = 7867380381696.

The previous prime is 20221010110111. The next prime is 20221010110121. The reversal of 20221010110120 is 2101101012202.

It can be written as a sum of positive squares in 8 ways, for example, as 18915836386756 + 1305173723364 = 4349234^2 + 1142442^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20221010110120.

It is not an unprimeable number, because it can be changed into a prime (20221010110121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722902 + ... + 6917818.

Almost surely, 220221010110120 is an apocalyptic number.

20221010110120 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 20221010110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23370643263240).

20221010110120 is an abundant number, since it is smaller than the sum of its proper divisors (26520276416360).

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

20221010110120 is a wasteful number, since it uses less digits than its factorization.

20221010110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198222 (or 4198218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20221010110120 its reverse (2101101012202), we get a palindrome (22322111122322).

The spelling of 20221010110120 in words is "twenty trillion, two hundred twenty-one billion, ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 3257 6514 13028 16285 26056 32570 65140 120509 130280 241018 482036 602545 964072 1205090 2410180 4194917 4820360 8389834 16779668 20974585 33559336 41949170 83898340 155211929 167796680 310423858 620847716 776059645 1241695432 1552119290 3104238580 6208477160 13662844669 27325689338 54651378676 68314223345 109302757352 136628446690 273256893380 505525252753 546513786760 1011050505506 2022101011012 2527626263765 4044202022024 5055252527530 10110505055060 20221010110120