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11130200 = 23521929101
BaseRepresentation
bin101010011101…
…010101011000
3202221110202122
4222131111120
510322131300
61034320412
7163414364
oct52352530
922843678
1011130200
116312314
123889108
1323c9123
14169a2a4
15e9cc85
hexa9d558

11130200 has 96 divisors (see below), whose sum is σ = 28458000. Its totient is φ = 4032000.

The previous prime is 11130199. The next prime is 11130221. The reversal of 11130200 is 203111.

11130200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110150 + ... + 110250.

Almost surely, 211130200 is an apocalyptic number.

11130200 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 11130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229000).

11130200 is an abundant number, since it is smaller than the sum of its proper divisors (17327800).

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

11130200 is a wasteful number, since it uses less digits than its factorization.

11130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11130200 is about 3336.1954379203. The cubic root of 11130200 is about 223.2720308963.

Adding to 11130200 its reverse (203111), we get a palindrome (11333311).

The spelling of 11130200 in words is "eleven million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 101 116 145 152 190 200 202 232 290 380 404 475 505 551 580 725 760 808 950 1010 1102 1160 1450 1900 1919 2020 2204 2525 2755 2900 2929 3800 3838 4040 4408 5050 5510 5800 5858 7676 9595 10100 11020 11716 13775 14645 15352 19190 20200 22040 23432 27550 29290 38380 47975 55100 55651 58580 73225 76760 95950 110200 111302 117160 146450 191900 222604 278255 292900 383800 445208 556510 585800 1113020 1391275 2226040 2782550 5565100 11130200