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221021010020010 = 235171136535873159
BaseRepresentation
bin110010010000010001110110…
…110010100100011010101010
31001222120101212012120120221110
4302100101312302210122222
5212432202012031120020
62102023352243451150
764361145445325214
oct6220216662443252
91058511765516843
10221021010020010
1164473536172282
1220957429086ab6
139643265550c45
143c8168c7a95b4
151a843e4e178e0
hexc90476ca46aa

221021010020010 has 128 divisors (see below), whose sum is σ = 567491594780160. Its totient is φ = 54896830693376.

The previous prime is 221021010019813. The next prime is 221021010020059. The reversal of 221021010020010 is 10020010120122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34695811 + ... + 40568969.

It is an arithmetic number, because the mean of its divisors is an integer number (4433528084220).

Almost surely, 2221021010020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021010020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283745797390080).

221021010020010 is an abundant number, since it is smaller than the sum of its proper divisors (346470584760150).

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

221021010020010 is a wasteful number, since it uses less digits than its factorization.

221021010020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873952.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221021010020010 its reverse (10020010120122), we get a palindrome (231041020140132).

The spelling of 221021010020010 in words is "two hundred twenty-one trillion, twenty-one billion, ten million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 113 170 226 255 339 510 565 653 678 1130 1306 1695 1921 1959 3265 3390 3842 3918 5763 6530 9605 9795 11101 11526 19210 19590 22202 28815 33303 55505 57630 66606 73789 111010 147578 166515 221367 333030 368945 442734 737890 1106835 1254413 2213670 2508826 3763239 5873159 6272065 7526478 11746318 12544130 17619477 18816195 29365795 35238954 37632390 58731590 88097385 99843703 176194770 199687406 299531109 499218515 599062218 663666967 998437030 1327333934 1497655545 1991000901 2995311090 3318334835 3835172827 3982001802 6636669670 7670345654 9955004505 11282338439 11505518481 19175864135 19910009010 22564676878 23011036962 33847015317 38351728270 56411692195 57527592405 65197938059 67694030634 112823384390 115055184810 130395876118 169235076585 195593814177 325989690295 338470153170 391187628354 433374529451 651979380590 866749058902 977969070885 1300123588353 1955938141770 2166872647255 2600247176706 4333745294510 6500617941765 7367367000667 13001235883530 14734734001334 22102101002001 36836835003335 44204202004002 73673670006670 110510505010005 221021010020010