Search a number
-
+
11010900 = 22352172127
BaseRepresentation
bin101010000000…
…001101010100
3202201102010010
4222000031110
510304322100
61032000220
7162406515
oct52001524
922642103
1011010900
11624071a
123830070
132386a34
141668a0c
15e77750
hexa80354

11010900 has 108 divisors (see below), whose sum is σ = 34108928. Its totient is φ = 2741760.

The previous prime is 11010871. The next prime is 11010907. The reversal of 11010900 is 901011.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010907) 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, 86637 + ... + 86763.

Almost surely, 211010900 is an apocalyptic number.

11010900 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 11010900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054464).

11010900 is an abundant number, since it is smaller than the sum of its proper divisors (23098028).

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

11010900 is a wasteful number, since it uses less digits than its factorization.

11010900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 11010900 is about 3318.2676203103. The cubic root of 11010900 is about 222.4714435430.

Adding to 11010900 its reverse (901011), we get a palindrome (11911911).

The spelling of 11010900 in words is "eleven million, ten thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 127 150 170 204 254 255 289 300 340 381 425 508 510 578 635 762 850 867 1020 1156 1270 1275 1445 1524 1700 1734 1905 2159 2540 2550 2890 3175 3468 3810 4318 4335 5100 5780 6350 6477 7225 7620 8636 8670 9525 10795 12700 12954 14450 17340 19050 21590 21675 25908 28900 32385 36703 38100 43180 43350 53975 64770 73406 86700 107950 110109 129540 146812 161925 183515 215900 220218 323850 367030 440436 550545 647700 734060 917575 1101090 1835150 2202180 2752725 3670300 5505450 11010900