Search a number
-
+
22021002010020 = 22351347600681997
BaseRepresentation
bin1010000000111001010100…
…00000001001110110100100
32212222012001111022000012210
411000130222000021312210
510341243003003310040
6114500150401043420
74431651646455606
oct500345200116644
985865044260183
1022021002010020
1170200666038a2
122577999026570
13c397579b4a70
14561b72105176
15282c3ba5b480
hex14072a009da4

22021002010020 has 96 divisors (see below), whose sum is σ = 67814594846208. Its totient is φ = 5305223388672.

The previous prime is 22021002009949. The next prime is 22021002010061. The reversal of 22021002010020 is 2001020012022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22021002009978 and 22021002010005.

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, 300304339 + ... + 300377658.

It is an arithmetic number, because the mean of its divisors is an integer number (706402029648).

Almost surely, 222021002010020 is an apocalyptic number.

22021002010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021002010020 is an abundant number, since it is smaller than the sum of its proper divisors (45793592836188).

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

22021002010020 is a wasteful number, since it uses less digits than its factorization.

22021002010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600682069 (or 600682067 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22021002010020 its reverse (2001020012022), we get a palindrome (24022022022042).

The spelling of 22021002010020 in words is "twenty-two trillion, twenty-one billion, two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3666 6110 7332 9165 12220 18330 36660 600681997 1201363994 1802045991 2402727988 3003409985 3604091982 6006819970 7208183964 7808865961 9010229955 12013639940 15617731922 18020459910 23426597883 28232053859 31235463844 36040919820 39044329805 46853195766 56464107718 78088659610 84696161577 93706391532 112928215436 117132989415 141160269295 156177319220 169392323154 234265978830 282320538590 338784646308 367016700167 423480807885 468531957660 564641077180 734033400334 846961615770 1101050100501 1468066800668 1693923231540 1835083500835 2202100201002 3670167001670 4404200402004 5505250502505 7340334003340 11010501005010 22021002010020