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11001712220 = 22567791031009
BaseRepresentation
bin10100011111100000…
…01100111001011100
31001101201122212221222
422033300030321130
5140012414242340
65015404512512
7536430003512
oct121760147134
931351585858
1011001712220
1147361a8254
12217054b738
1310643a6ab5
147651d84b2
15445ccb8b5
hex28fc0ce5c

11001712220 has 96 divisors (see below), whose sum is σ = 23999539200. Its totient is φ = 4234374144.

The previous prime is 11001712207. The next prime is 11001712229. The reversal of 11001712220 is 2221710011.

11001712220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001712229) by changing a digit.

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, 10903076 + ... + 10904084.

It is an arithmetic number, because the mean of its divisors is an integer number (249995200).

Almost surely, 211001712220 is an apocalyptic number.

11001712220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001712220 is an abundant number, since it is smaller than the sum of its proper divisors (12997826980).

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

11001712220 is a wasteful number, since it uses less digits than its factorization.

11001712220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The spelling of 11001712220 in words is "eleven billion, one million, seven hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 79 103 134 158 206 268 316 335 395 412 515 670 790 1009 1030 1340 1580 2018 2060 4036 5045 5293 6901 8137 10090 10586 13802 16274 20180 21172 26465 27604 32548 34505 40685 52930 67603 69010 79711 81370 103927 105860 135206 138020 159422 162740 207854 270412 318844 338015 398555 415708 519635 545179 676030 797110 1039270 1090358 1352060 1594220 2078540 2180716 2725895 5340637 5451790 6963109 8210233 10681274 10903580 13926218 16420466 21362548 26703185 27852436 32840932 34815545 41051165 53406370 69631090 82102330 106812740 139262180 164204660 550085611 1100171222 2200342444 2750428055 5500856110 11001712220