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11000222022220 = 22517227711036229
BaseRepresentation
bin1010000000010011000001…
…0100110111101001001100
31102221121111101102120112121
42200010300110313221030
52420211423314202340
635221233210142324
72213511520301404
oct240046024675114
942847441376477
1011000222022220
113561193613552
121297b001219a4
1361a41641c052
142a05b0c4b804
1514121ae1394a
hexa0130537a4c

11000222022220 has 144 divisors (see below), whose sum is σ = 24654124333440. Its totient is φ = 4121906835456.

The previous prime is 11000222022199. The next prime is 11000222022247. The reversal of 11000222022220 is 2222022200011.

It is a junction number, because it is equal to n+sod(n) for n = 11000222022194 and 11000222022203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1765966066 + ... + 1765972294.

It is an arithmetic number, because the mean of its divisors is an integer number (171209196760).

Almost surely, 211000222022220 is an apocalyptic number.

11000222022220 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 11000222022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327062166720).

11000222022220 is an abundant number, since it is smaller than the sum of its proper divisors (13653902311220).

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

11000222022220 is a wasteful number, since it uses less digits than its factorization.

11000222022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 7633 counting only the distinct ones).

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

Adding to 11000222022220 its reverse (2222022200011), we get a palindrome (13222244222231).

The spelling of 11000222022220 in words is "eleven trillion, two hundred twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 277 289 340 554 578 1103 1108 1156 1385 1445 2206 2770 2890 4412 4709 5515 5540 5780 6229 9418 11030 12458 18751 18836 22060 23545 24916 31145 37502 47090 62290 75004 80053 93755 94180 105893 124580 160106 187510 211786 305531 318767 320212 375020 400265 423572 529465 611062 637534 800530 1058930 1222124 1275068 1527655 1593835 1601060 1725433 1800181 2117860 3055310 3187670 3450866 3600362 5194027 6110620 6375340 6870587 6901732 7200724 8627165 9000905 10388054 13741174 17254330 18001810 20776108 25970135 27482348 29332361 34352935 34508660 36003620 51940270 58664722 68705870 88298459 103880540 116799979 117329444 137411740 146661805 176596918 233599958 293323610 353193836 441492295 467199916 498650137 583999895 586647220 882984590 997300274 1167999790 1765969180 1903152599 1985599643 1994600548 2335999580 2493250685 3806305198 3971199286 4986501370 7612610396 7942398572 9515762995 9927998215 9973002740 19031525990 19855996430 32353594183 38063051980 39711992860 64707188366 129414376732 161767970915 323535941830 550011101111 647071883660 1100022202222 2200044404444 2750055505555 5500111011110 11000222022220