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11202213100 = 22521315495563
BaseRepresentation
bin10100110111011010…
…00011010011101100
31001220200221101110111
422123231003103230
5140420231304400
65051330145404
7544413145261
oct123355032354
931820841414
1011202213100
1148293a2561
122207722264
131096aa8080
14783aab268
154586d43ba
hex29bb434ec

11202213100 has 72 divisors (see below), whose sum is σ = 26200319600. Its totient is φ = 4132788480.

The previous prime is 11202213091. The next prime is 11202213133. The reversal of 11202213100 is 131220211.

It is a super-2 number, since 2×112022131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 2010919 + ... + 2016481.

Almost surely, 211202213100 is an apocalyptic number.

11202213100 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 11202213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100159800).

11202213100 is an abundant number, since it is smaller than the sum of its proper divisors (14998106500).

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

11202213100 is a wasteful number, since it uses less digits than its factorization.

11202213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7139 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11202213100 its reverse (131220211), we get a palindrome (11333433311).

The spelling of 11202213100 in words is "eleven billion, two hundred two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1549 3098 5563 6196 7745 11126 15490 20137 22252 27815 30980 38725 40274 55630 72319 77450 80548 100685 111260 139075 144638 154900 201370 278150 289276 361595 402740 503425 556300 723190 1006850 1446380 1807975 2013700 3615950 7231900 8617087 17234174 34468348 43085435 86170870 112022131 172341740 215427175 224044262 430854350 448088524 560110655 861708700 1120221310 2240442620 2800553275 5601106550 11202213100