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11020100 = 22527213173
BaseRepresentation
bin101010000010…
…011101000100
3202201212201212
4222002131010
510310120400
61032110552
7162445400
oct52023504
922655655
1011020100
116247623
123835458
13238ac90
14166c100
15e7a335
hexa82744

11020100 has 108 divisors (see below), whose sum is σ = 30130884. Its totient is φ = 3467520.

The previous prime is 11020091. The next prime is 11020109. The reversal of 11020100 is 102011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11020091) and next prime (11020109).

It can be written as a sum of positive squares in 6 ways, for example, as 103684 + 10916416 = 322^2 + 3304^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63614 + ... + 63786.

Almost surely, 211020100 is an apocalyptic number.

11020100 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 11020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065442).

11020100 is an abundant number, since it is smaller than the sum of its proper divisors (19110784).

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

11020100 is a wasteful number, since it uses less digits than its factorization.

11020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 11020100 is about 3319.6535963862. The cubic root of 11020100 is about 222.5333872383.

Adding to 11020100 its reverse (102011), we get a palindrome (11122111).

The spelling of 11020100 in words is "eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 173 175 182 196 245 260 325 346 350 364 455 490 637 650 692 700 865 910 980 1211 1225 1274 1300 1730 1820 2249 2275 2422 2450 2548 3185 3460 4325 4498 4550 4844 4900 6055 6370 8477 8650 8996 9100 11245 12110 12740 15743 15925 16954 17300 22490 24220 30275 31486 31850 33908 42385 44980 56225 60550 62972 63700 78715 84770 110201 112450 121100 157430 169540 211925 220402 224900 314860 393575 423850 440804 551005 787150 847700 1102010 1574300 2204020 2755025 5510050 11020100