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202122212102020 = 225719720807352217
BaseRepresentation
bin101101111101010000111110…
…101001110100111110000100
3222111122200202111002221112101
4231331100332221310332010
5202443032242244231040
61553513355024001444
760400563560460160
oct5575207651647604
9874580674087471
10202122212102020
1159447604464241
121a80477ba60284
1388a20730b8502
1437caaa5527ca0
1518579e133009a
hexb7d43ea74f84

202122212102020 has 96 divisors (see below), whose sum is σ = 487580528236032. Its totient is φ = 68943762951168.

The previous prime is 202122212101981. The next prime is 202122212102071. The reversal of 202122212102020 is 20201212221202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573680952 + ... + 574033168.

It is an arithmetic number, because the mean of its divisors is an integer number (5078963835792).

Almost surely, 2202122212102020 is an apocalyptic number.

202122212102020 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 202122212102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243790264118016).

202122212102020 is an abundant number, since it is smaller than the sum of its proper divisors (285458316134012).

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

202122212102020 is a wasteful number, since it uses less digits than its factorization.

202122212102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373237 (or 373235 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 202122212102020 its reverse (20201212221202), we get a palindrome (222323424323222).

The spelling of 202122212102020 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1970 2758 3940 5516 6895 13790 20807 27580 41614 83228 104035 145649 208070 291298 352217 416140 582596 704434 728245 1408868 1456490 1761085 2465519 2912980 3522170 4098979 4931038 7044340 8197958 9862076 12327595 16395916 20494895 24655190 28692853 40989790 49310380 57385706 69386749 81979580 114771412 138773498 143464265 277546996 286928530 346933745 485707243 573857060 693867490 971414486 1387734980 1942828972 2428536215 4857072430 7328579119 9714144860 14657158238 29314316476 36642895595 51300053833 73285791190 102600107666 146571582380 205200215332 256500269165 513000538330 1026001076660 1443730086443 2887460172886 5774920345772 7218650432215 10106110605101 14437300864430 20212221210202 28874601728860 40424442420404 50530553025505 101061106051010 202122212102020