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110022212200220 = 2251910914251186391
BaseRepresentation
bin11001000001000010001010…
…111000000010011100011100
3112102120000120010201110120022
4121001002022320002130130
5103410100442310401340
61025555301224211312
732113561661225015
oct3101021270023434
9472500503643508
10110022212200220
1132069181571a61
121040b060309b38
13495108608c8b8
141d25163d5c00c
15cabde47aa3b5
hex64108ae0271c

110022212200220 has 96 divisors (see below), whose sum is σ = 245456791641600. Its totient is φ = 41307006240000.

The previous prime is 110022212200189. The next prime is 110022212200231. The reversal of 110022212200220 is 22002212220011.

It is a happy number.

It is a super-2 number, since 2×1100222122002202 (a number of 29 digits) contains 22 as substring.

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, 590183225 + ... + 590369615.

It is an arithmetic number, because the mean of its divisors is an integer number (2556841579600).

Almost surely, 2110022212200220 is an apocalyptic number.

110022212200220 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 110022212200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122728395820800).

110022212200220 is an abundant number, since it is smaller than the sum of its proper divisors (135434579441380).

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

110022212200220 is a wasteful number, since it uses less digits than its factorization.

110022212200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200779 (or 200777 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 110022212200220 its reverse (22002212220011), we get a palindrome (132024424420231).

The spelling of 110022212200220 in words is "one hundred ten trillion, twenty-two billion, two hundred twelve million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 1090 2071 2180 4142 8284 10355 14251 20710 28502 41420 57004 71255 142510 186391 270769 285020 372782 541538 745564 931955 1083076 1353845 1553359 1863910 2707690 3106718 3541429 3727820 5415380 6213436 7082858 7766795 14165716 15533590 17707145 20316619 29513821 31067180 35414290 40633238 59027642 70828580 81266476 101583095 118055284 147569105 203166190 295138210 386015761 406332380 590276420 772031522 1544063044 1930078805 2656258141 3860157610 5312516282 7720315220 10625032564 13281290705 26562581410 50468904679 53125162820 100937809358 201875618716 252344523395 289532137369 504689046790 579064274738 1009378093580 1158128549476 1447660686845 2895321373690 5501110610011 5790642747380 11002221220022 22004442440044 27505553050055 55011106100110 110022212200220