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10102020222220 = 22517367712111369
BaseRepresentation
bin1001001100000000111101…
…0100111010110100001100
31022202202002011021111222021
42103000033110322310030
52311002414134102340
633252445400255524
72061563323050433
oct223001724726414
938682064244867
1010102020222220
113245274068a63
121171a0a1715a4
13583802372914
1426cd245d011a
15127b9b6d6e4a
hex9300f53ad0c

10102020222220 has 96 divisors (see below), whose sum is σ = 22528488165120. Its totient is φ = 3791884615680.

The previous prime is 10102020222197. The next prime is 10102020222227. The reversal of 10102020222220 is 2222202020101.

It is a junction number, because it is equal to n+sod(n) for n = 10102020222194 and 10102020222203.

It is not an unprimeable number, because it can be changed into a prime (10102020222227) 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 31 ways as a sum of consecutive naturals, for example, 888552696 + ... + 888564064.

It is an arithmetic number, because the mean of its divisors is an integer number (234671751720).

Almost surely, 210102020222220 is an apocalyptic number.

10102020222220 is a gapful number since it is divisible by the number (10) 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 10102020222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11264244082560).

10102020222220 is an abundant number, since it is smaller than the sum of its proper divisors (12426467942900).

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

10102020222220 is a wasteful number, since it uses less digits than its factorization.

10102020222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18881 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10102020222220 its reverse (2222202020101), we get a palindrome (12324222242321).

The spelling of 10102020222220 in words is "ten trillion, one hundred two billion, twenty million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 367 734 1468 1835 3670 6239 7121 7340 11369 12478 14242 22738 24956 28484 31195 35605 45476 56845 62390 71210 113690 121057 124780 142420 193273 227380 242114 386546 484228 605285 773092 966365 1210570 1932730 2421140 2613407 3865460 4172423 5226814 8344846 10453628 13067035 16689692 20862115 26134070 41724230 44427919 52268140 70931191 80958649 83448460 88855838 141862382 161917298 177711676 222139595 283724764 323834596 354655955 404793245 444279190 709311910 809586490 888558380 1376297033 1418623820 1619172980 2752594066 5505188132 6881485165 13762970330 27525940660 29711824183 59423648366 118847296732 148559120915 297118241830 505101011111 594236483660 1010202022222 2020404044444 2525505055555 5051010111110 10102020222220