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5022020100 = 22352234491621
BaseRepresentation
bin1001010110101010…
…11111001000000100
3110221222211001110110
410223111133020010
540241114120400
62150155153020
7235310316006
oct45325371004
913858731413
105022020100
112147888039
12b81a45770
1362059b636
14358d94376
151e5d55e50
hex12b55f204

5022020100 has 144 divisors (see below), whose sum is σ = 15205276800. Its totient is φ = 1277337600.

The previous prime is 5022020089. The next prime is 5022020147. The reversal of 5022020100 is 10202205.

It is a super-4 number, since 4×50220201004 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3097290 + ... + 3098910.

It is an arithmetic number, because the mean of its divisors is an integer number (105592200).

Almost surely, 25022020100 is an apocalyptic number.

5022020100 is a gapful number since it is divisible by the number (50) 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 5022020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602638400).

5022020100 is an abundant number, since it is smaller than the sum of its proper divisors (10183256700).

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

5022020100 is a wasteful number, since it uses less digits than its factorization.

5022020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5022020100 is about 70866.2126827729. The cubic root of 5022020100 is about 1712.4825266834.

Adding to 5022020100 its reverse (10202205), we get a palindrome (5032222305).

The spelling of 5022020100 in words is "five billion, twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 449 460 575 690 898 1150 1347 1380 1621 1725 1796 2245 2300 2694 3242 3450 4490 4863 5388 6484 6735 6900 8105 8980 9726 10327 11225 13470 16210 19452 20654 22450 24315 26940 30981 32420 33675 37283 40525 41308 44900 48630 51635 61962 67350 74566 81050 97260 103270 111849 121575 123924 134700 149132 154905 162100 186415 206540 223698 243150 258175 309810 372830 447396 486300 516350 559245 619620 727829 745660 774525 932075 1032700 1118490 1455658 1549050 1864150 2183487 2236980 2796225 2911316 3098100 3639145 3728300 4366974 5592450 7278290 8733948 10917435 11184900 14556580 16740067 18195725 21834870 33480134 36391450 43669740 50220201 54587175 66960268 72782900 83700335 100440402 109174350 167400670 200880804 218348700 251101005 334801340 418501675 502202010 837003350 1004404020 1255505025 1674006700 2511010050 5022020100