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11011000220022 = 23114767311170353
BaseRepresentation
bin1010000000111011001011…
…0000011011100101110110
31102222122022112111202100210
42200032302300123211312
52420401012024020042
635230214512250250
72214342564413535
oct240166260334566
942878275452323
1011011000220022
113565814628040
12129a009840986
1361b4433c789a
142a0d144a231c
1514164c28da9c
hexa03b2c1b976

11011000220022 has 128 divisors (see below), whose sum is σ = 24981560967168. Its totient is φ = 3206569766400.

The previous prime is 11011000219969. The next prime is 11011000220063. The reversal of 11011000220022 is 22002200011011.

11011000220022 is a modest number, since divided by 220022 gives 110110 as remainder.

It is a congruent number.

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, 64551198 + ... + 64721550.

It is an arithmetic number, because the mean of its divisors is an integer number (195168445056).

Almost surely, 211011000220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011000220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12490780483584).

11011000220022 is an abundant number, since it is smaller than the sum of its proper divisors (13970560747146).

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

11011000220022 is a wasteful number, since it uses less digits than its factorization.

11011000220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170794.

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

Adding to 11011000220022 its reverse (22002200011011), we get a palindrome (33013200231033).

The spelling of 11011000220022 in words is "eleven trillion, eleven billion, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 67 94 134 141 201 282 311 402 517 622 737 933 1034 1474 1551 1866 2211 3102 3149 3421 4422 6298 6842 9447 10263 14617 18894 20526 20837 29234 34639 41674 43851 62511 69278 87702 103917 125022 160787 170353 207834 229207 321574 340706 458414 482361 511059 687621 964722 979339 1022118 1375242 1873883 1958678 2938017 3747766 5621649 5876034 8006591 10772729 11243298 11413651 16013182 21545458 22827302 24019773 32318187 34240953 48039546 52979783 64636374 68481906 88072501 105959566 125550161 158939349 176145002 251100322 264217503 317878698 376650483 528435006 536441597 582777613 753300966 1072883194 1165555226 1609324791 1748332839 2490049801 3218649582 3496665678 3549645461 4980099602 5900857567 7099290922 7470149403 10648936383 11801715134 14940298806 17702572701 21297872766 27390547811 35405145402 39046100071 54781095622 78092200142 82171643433 117138300213 164343286866 166833336667 234276600426 333666673334 500500010001 1001000020002 1835166703337 3670333406674 5505500110011 11011000220022