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2021022220986 = 232172389998737
BaseRepresentation
bin11101011010001110010…
…011111100001010111010
321011012121111212022210100
4131122032103330022322
5231103023142032421
64144240024100230
7266004546302046
oct35321623741272
97135544768710
102021022220986
1170a1243a063a
12287830304676
131187739594a2
146db64829026
1537888868c26
hex1d68e4fc2ba

2021022220986 has 72 divisors (see below), whose sum is σ = 4663577128860. Its totient is φ = 632415614976.

The previous prime is 2021022220967. The next prime is 2021022220991. The reversal of 2021022220986 is 6890222201202.

It can be written as a sum of positive squares in 6 ways, for example, as 1105305282225 + 915716938761 = 1051335^2 + 956931^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2021022220986.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1524210 + ... + 2522946.

Almost surely, 22021022220986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021022220986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331788564430).

2021022220986 is an abundant number, since it is smaller than the sum of its proper divisors (2642554907874).

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

2021022220986 is a wasteful number, since it uses less digits than its factorization.

2021022220986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999168 (or 999148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2021022220986 in words is "two trillion, twenty-one billion, twenty-two million, two hundred twenty thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 389 578 778 867 1167 1734 2334 2601 3501 5202 6613 7002 13226 19839 39678 59517 112421 119034 224842 337263 674526 998737 1011789 1997474 2023578 2996211 5992422 8988633 16978529 17977266 33957058 50935587 101871174 152806761 288634993 305613522 388508693 577269986 777017386 865904979 1165526079 1731809958 2331052158 2597714937 3496578237 5195429874 6604647781 6993156474 13209295562 19813943343 39627886686 59441830029 112279012277 118883660058 224558024554 336837036831 673674073662 1010511110493 2021022220986