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11100610020 = 22351771153281
BaseRepresentation
bin10100101011010010…
…11101110111100100
31001122121202102020110
422111221131313210
5140213224010040
65033300333020
7542040425343
oct122551356744
931577672213
1011100610020
114787006675
1221996a4170
13107ba229c6
147743bdb5a
1544e814980
hex295a5dde4

11100610020 has 96 divisors (see below), whose sum is σ = 33373783296. Its totient is φ = 2746777600.

The previous prime is 11100609979. The next prime is 11100610021. The reversal of 11100610020 is 2001600111.

It is a happy number.

It is a super-2 number, since 2×111006100202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100609978 and 11100610005.

It is not an unprimeable number, because it can be changed into a prime (11100610021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4221 + ... + 149060.

It is an arithmetic number, because the mean of its divisors is an integer number (347643576).

Almost surely, 211100610020 is an apocalyptic number.

11100610020 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 11100610020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686891648).

11100610020 is an abundant number, since it is smaller than the sum of its proper divisors (22273173276).

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

11100610020 is a wasteful number, since it uses less digits than its factorization.

11100610020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153381 (or 153379 counting only the distinct ones).

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

Subtracting from 11100610020 its reverse (2001600111), we obtain a palindrome (9099009909).

The spelling of 11100610020 in words is "eleven billion, one hundred million, six hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 71 85 102 142 170 204 213 255 284 340 355 426 510 710 852 1020 1065 1207 1420 2130 2414 3621 4260 4828 6035 7242 12070 14484 18105 24140 36210 72420 153281 306562 459843 613124 766405 919686 1532810 1839372 2299215 2605777 3065620 4598430 5211554 7817331 9196860 10423108 10882951 13028885 15634662 21765902 26057770 31269324 32648853 39086655 43531804 52115540 54414755 65297706 78173310 108829510 130595412 156346620 163244265 185010167 217659020 326488530 370020334 555030501 652977060 740040668 925050835 1110061002 1850101670 2220122004 2775152505 3700203340 5550305010 11100610020