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11100100020 = 22351710999839
BaseRepresentation
bin10100101011001111…
…00001010110110100
31001122120210111122120
422111213201112310
5140213111200040
65033241355540
7542033202432
oct122547412664
931576714576
1011100100020
114786798489
122199498bb0
13107b8a4829
147742c9d52
1544e7637d0
hex2959e15b4

11100100020 has 96 divisors (see below), whose sum is σ = 33210777600. Its totient is φ = 2760321024.

The previous prime is 11100100009. The next prime is 11100100031. The reversal of 11100100020 is 2000100111.

11100100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11100100009) and next prime (11100100031).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11100099981 and 11100100008.

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, 61261 + ... + 161099.

It is an arithmetic number, because the mean of its divisors is an integer number (345945600).

Almost surely, 211100100020 is an apocalyptic number.

11100100020 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 11100100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605388800).

11100100020 is an abundant number, since it is smaller than the sum of its proper divisors (22110677580).

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

11100100020 is a wasteful number, since it uses less digits than its factorization.

11100100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99977 (or 99975 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11100100020 its reverse (2000100111), we get a palindrome (13100200131).

Subtracting from 11100100020 its reverse (2000100111), we obtain a palindrome (9099999909).

The spelling of 11100100020 in words is "eleven billion, one hundred million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 109 170 204 218 255 327 340 436 510 545 654 1020 1090 1308 1635 1853 2180 3270 3706 5559 6540 7412 9265 11118 18530 22236 27795 37060 55590 99839 111180 199678 299517 399356 499195 599034 998390 1198068 1497585 1697263 1996780 2995170 3394526 5091789 5990340 6789052 8486315 10183578 10882451 16972630 20367156 21764902 25458945 32647353 33945260 43529804 50917890 54412255 65294706 101835780 108824510 130589412 163236765 185001667 217649020 326473530 370003334 555005001 652947060 740006668 925008335 1110010002 1850016670 2220020004 2775025005 3700033340 5550050010 11100100020