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11002122112220 = 22517571194929077
BaseRepresentation
bin1010000000011010000110…
…0101001000110011011100
31102221210101210210011000022
42200012201211020303130
52420224321230042340
635222145523451312
72213606561634401
oct240064145106334
942853353704008
1011002122112220
113561a79120268
121298350526b38
1361a659c84865
142a071133a2a8
151412ccb3d3b5
hexa01a1948cdc

11002122112220 has 96 divisors (see below), whose sum is σ = 24519802507200. Its totient is φ = 4132457902080.

The previous prime is 11002122112213. The next prime is 11002122112243. The reversal of 11002122112220 is 2221122120011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 378364322 + ... + 378393398.

It is an arithmetic number, because the mean of its divisors is an integer number (255414609450).

Almost surely, 211002122112220 is an apocalyptic number.

11002122112220 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 11002122112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259901253600).

11002122112220 is an abundant number, since it is smaller than the sum of its proper divisors (13517680394980).

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

11002122112220 is a wasteful number, since it uses less digits than its factorization.

11002122112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31623 (or 31621 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11002122112220 its reverse (2221122120011), we get a palindrome (13223244232231).

The spelling of 11002122112220 in words is "eleven trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 571 1142 1949 2284 2855 3898 5710 7796 9707 9745 11420 19414 19490 29077 33133 38828 38980 48535 58154 66266 97070 116308 132532 145385 165665 194140 290770 331330 494309 581540 662660 988618 1112879 1977236 2225758 2471545 4451516 4943090 5564395 9886180 11128790 16602967 18918943 22257580 33205934 37837886 56671073 66411868 75675772 83014835 94594715 113342146 166029670 189189430 226684292 282250439 283355365 332059340 378378860 564500878 566710730 963408241 1129001756 1133421460 1411252195 1926816482 2822504390 3853632964 4817041205 5645008780 9634082410 19268164820 32359182683 64718365366 129436730732 161795913415 323591826830 550106105611 647183653660 1100212211222 2200424422444 2750530528055 5501061056110 11002122112220