Search a number
-
+
11210201120 = 255791635441
BaseRepresentation
bin10100111000010111…
…00001100000100000
31001221020222012222002
422130023201200200
5140424302413440
65052213303132
7544541065046
oct123413414040
931836865862
1011210201120
114832959028
12220a334aa8
131098643c01
14784b8a396
15459261115
hex29c2e1820

11210201120 has 96 divisors (see below), whose sum is σ = 26988837120. Its totient is φ = 4399349760.

The previous prime is 11210201117. The next prime is 11210201141. The reversal of 11210201120 is 2110201211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057600 + ... + 2063040.

It is an arithmetic number, because the mean of its divisors is an integer number (281133720).

Almost surely, 211210201120 is an apocalyptic number.

11210201120 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 11210201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494418560).

11210201120 is an abundant number, since it is smaller than the sum of its proper divisors (15778636000).

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

11210201120 is a wasteful number, since it uses less digits than its factorization.

11210201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11210201120 its reverse (2110201211), we get a palindrome (13320402331).

Subtracting from 11210201120 its reverse (2110201211), we obtain a palindrome (9099999909).

The spelling of 11210201120 in words is "eleven billion, two hundred ten million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 163 316 326 395 632 652 790 815 1264 1304 1580 1630 2528 2608 3160 3260 5216 5441 6320 6520 10882 12640 12877 13040 21764 25754 26080 27205 43528 51508 54410 64385 87056 103016 108820 128770 174112 206032 217640 257540 412064 429839 435280 515080 859678 870560 886883 1030160 1719356 1773766 2060320 2149195 3438712 3547532 4298390 4434415 6877424 7095064 8596780 8868830 13754848 14190128 17193560 17737660 28380256 34387120 35475320 68774240 70063757 70950640 140127514 141901280 280255028 350318785 560510056 700637570 1121020112 1401275140 2242040224 2802550280 5605100560 11210201120