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200121112022020 = 225722516311289329
BaseRepresentation
bin101101100000001001010011…
…110010110100110000000100
3222020120101120101021020111121
4231200021103302310300010
5202212241014134201040
61545342211504243324
760103162466443600
oct5540112362646004
9866511511236447
10200121112022020
1158845983654032
121a54098b610544
138788455975c37
14375bcb0918500
1518209219a2c4a
hexb60253cb4c04

200121112022020 has 144 divisors (see below), whose sum is σ = 491593184369280. Its totient is φ = 68231237760000.

The previous prime is 200121112022017. The next prime is 200121112022021. The reversal of 200121112022020 is 20220211121002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200121112021985 and 200121112022003.

It is not an unprimeable number, because it can be changed into a prime (200121112022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154568716 + ... + 155858044.

It is an arithmetic number, because the mean of its divisors is an integer number (3413841558120).

Almost surely, 2200121112022020 is an apocalyptic number.

200121112022020 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 200121112022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245796592184640).

200121112022020 is an abundant number, since it is smaller than the sum of its proper divisors (291472072347260).

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

200121112022020 is a wasteful number, since it uses less digits than its factorization.

200121112022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290234 (or 1290225 counting only the distinct ones).

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

Adding to 200121112022020 its reverse (20220211121002), we get a palindrome (220341323143022).

The spelling of 200121112022020 in words is "two hundred trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 251 490 502 631 980 1004 1255 1262 1757 2510 2524 3155 3514 4417 5020 6310 7028 8785 8834 12299 12620 17570 17668 22085 24598 30919 35140 44170 49196 61495 61838 88340 122990 123676 154595 158381 245980 309190 316762 618380 633524 791905 1108667 1289329 1583810 2217334 2578658 3167620 4434668 5157316 5543335 6446645 7760669 9025303 11086670 12893290 15521338 18050606 22173340 25786580 31042676 36101212 38803345 45126515 63177121 77606690 90253030 126354242 155213380 180506060 252708484 315885605 323621579 631771210 647243158 813566599 1263542420 1294486316 1618107895 1627133198 2265351053 3236215790 3254266396 4067832995 4530702106 5694966193 6472431580 8135665990 9061404212 11326755265 11389932386 15857457371 16271331980 22653510530 22779864772 28474830965 31714914742 39864763351 45307021060 56949661930 63429829484 79287286855 79729526702 113899323860 158574573710 159459053404 199323816755 204205216349 317149147420 398647633510 408410432698 797295267020 816820865396 1021026081745 1429436514443 2042052163490 2858873028886 4084104326980 5717746057772 7147182572215 10006055601101 14294365144430 20012111202202 28588730288860 40024222404404 50030278005505 100060556011010 200121112022020