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11001201020 = 22519197223659
BaseRepresentation
bin10100011111011100…
…10000000101111100
31001101200200220201122
422033232100011330
5140012301413040
65015345530112
7536422444235
oct121756200574
931350626648
1011001201020
114735989177
122170343938
131064258204
1476510408c
15445c2a1b5
hex28fb9017c

11001201020 has 96 divisors (see below), whose sum is σ = 24588748800. Its totient is φ = 4122849024.

The previous prime is 11001201019. The next prime is 11001201091. The reversal of 11001201020 is 2010210011.

11001201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11001200989 and 11001201007.

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, 16693451 + ... + 16694109.

It is an arithmetic number, because the mean of its divisors is an integer number (256132800).

Almost surely, 211001201020 is an apocalyptic number.

11001201020 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 11001201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294374400).

11001201020 is an abundant number, since it is smaller than the sum of its proper divisors (13587547780).

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

11001201020 is a wasteful number, since it uses less digits than its factorization.

11001201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11001201020 its reverse (2010210011), we get a palindrome (13011411031).

The spelling of 11001201020 in words is "eleven billion, one million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 197 223 380 394 446 659 788 892 985 1115 1318 1970 2230 2636 3295 3743 3940 4237 4460 6590 7486 8474 12521 13180 14972 16948 18715 21185 25042 37430 42370 43931 50084 62605 74860 84740 87862 125210 129823 146957 175724 219655 250420 259646 293914 439310 519292 587828 649115 734785 834689 878620 1298230 1469570 1669378 2466637 2596460 2792183 2939140 3338756 4173445 4933274 5584366 8346890 9866548 11168732 12333185 13960915 16693780 24666370 27921830 28950529 49332740 55843660 57901058 115802116 144752645 289505290 550060051 579010580 1100120102 2200240204 2750300255 5500600510 11001201020