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201121222020 = 223597259313327
BaseRepresentation
bin1011101101001111000…
…0100100110110000100
3201020010111001122221220
42323103300210312010
511243344013101040
6232221021440340
720346654115605
oct2732360446604
9636114048856
10201121222020
1178327760974
1232b8b1100b0
1315c726c0564
149a3cd85dac
155371aed2d0
hex2ed3c24d84

201121222020 has 96 divisors (see below), whose sum is σ = 569207106048. Its totient is φ = 53054963712.

The previous prime is 201121222007. The next prime is 201121222069. The reversal of 201121222020 is 20222121102.

201121222020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 15084597 + ... + 15097923.

It is an arithmetic number, because the mean of its divisors is an integer number (5929240688).

Almost surely, 2201121222020 is an apocalyptic number.

201121222020 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 201121222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284603553024).

201121222020 is an abundant number, since it is smaller than the sum of its proper divisors (368085884028).

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

201121222020 is a wasteful number, since it uses less digits than its factorization.

201121222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16029 (or 16027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201121222020 its reverse (20222121102), we get a palindrome (221343343122).

The spelling of 201121222020 in words is "two hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2593 2910 5186 5820 7779 10372 12965 13327 15558 25930 26654 31116 38895 39981 51860 53308 66635 77790 79962 133270 155580 159924 199905 251521 266540 399810 503042 754563 799620 1006084 1257605 1292719 1509126 2515210 2585438 3018252 3772815 3878157 5030420 5170876 6463595 7545630 7756314 12927190 15091260 15512628 19390785 25854380 34556911 38781570 69113822 77563140 103670733 138227644 172784555 207341466 345569110 414682932 518353665 691138220 1036707330 2073414660 3352020367 6704040734 10056061101 13408081468 16760101835 20112122202 33520203670 40224244404 50280305505 67040407340 100560611010 201121222020