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2021010221000 = 235319257413887
BaseRepresentation
bin11101011010001101100…
…110001010011111001000
321011012120200021122220102
4131122031212022133020
5231103012104033000
64144234514544532
7266004342302501
oct35321546123710
97135520248812
102021010221000
1170a1186448a1
12287828298148
131187713174c4
146db62dc3ba8
15378877983d5
hex1d68d98a7c8

2021010221000 has 128 divisors (see below), whose sum is σ = 4997449267200. Its totient is φ = 762874675200.

The previous prime is 2021010220997. The next prime is 2021010221017. The reversal of 2021010221000 is 1220101202.

It is a happy number.

It is a super-3 number, since 3×20210102210003 (a number of 38 digits) contains 333 as substring.

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, 4676057 + ... + 5089943.

It is an arithmetic number, because the mean of its divisors is an integer number (39042572400).

Almost surely, 22021010221000 is an apocalyptic number.

2021010221000 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 2021010221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498724633600).

2021010221000 is an abundant number, since it is smaller than the sum of its proper divisors (2976439046200).

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

2021010221000 is a wasteful number, since it uses less digits than its factorization.

2021010221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414184 (or 414170 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2021010221000 its reverse (1220101202), we get a palindrome (2022230322202).

The spelling of 2021010221000 in words is "two trillion, twenty-one billion, ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 257 380 475 500 514 760 950 1000 1028 1285 1900 2056 2375 2570 3800 4750 4883 5140 6425 9500 9766 10280 12850 19000 19532 24415 25700 32125 39064 48830 51400 64250 97660 122075 128500 195320 244150 257000 413887 488300 610375 827774 976600 1220750 1655548 2069435 2441500 3311096 4138870 4883000 7863853 8277740 10347175 15727706 16555480 20694350 31455412 39319265 41388700 51735875 62910824 78638530 82777400 103471750 106368959 157277060 196596325 206943500 212737918 314554120 393192650 413887000 425475836 531844795 786385300 850951672 982981625 1063689590 1572770600 1965963250 2021010221 2127379180 2659223975 3931926500 4042020442 4254758360 5318447950 7863853000 8084040884 10105051105 10636895900 13296119875 16168081768 20210102210 21273791800 26592239750 40420204420 50525255525 53184479500 80840408840 101050511050 106368959000 202101022100 252626277625 404202044200 505252555250 1010505110500 2021010221000