Search a number
-
+
11210303100 = 22352101419883
BaseRepresentation
bin10100111000010111…
…11010011001111100
31001221021011101212010
422130023322121330
5140424314144400
65052215411220
7544542001263
oct123413723174
931837141763
1011210303100
114832a18707
12220a383b10
13109867b459
14784bb55da
15459281450
hex29c2fa67c

11210303100 has 144 divisors (see below), whose sum is σ = 32871646080. Its totient is φ = 2949408000.

The previous prime is 11210303099. The next prime is 11210303131. The reversal of 11210303100 is 130301211.

It is a super-2 number, since 2×112103031002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12695259 + ... + 12696141.

It is an arithmetic number, because the mean of its divisors is an integer number (228275320).

Almost surely, 211210303100 is an apocalyptic number.

11210303100 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 11210303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435823040).

11210303100 is an abundant number, since it is smaller than the sum of its proper divisors (21661342980).

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

11210303100 is a wasteful number, since it uses less digits than its factorization.

11210303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11210303100 its reverse (130301211), we get a palindrome (11340604311).

The spelling of 11210303100 in words is "eleven billion, two hundred ten million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 419 505 606 838 883 1010 1212 1257 1515 1676 1766 2020 2095 2514 2525 2649 3030 3532 4190 4415 5028 5050 5298 6060 6285 7575 8380 8830 10100 10475 10596 12570 13245 15150 17660 20950 22075 25140 26490 30300 31425 41900 42319 44150 52980 62850 66225 84638 88300 89183 125700 126957 132450 169276 178366 211595 253914 264900 267549 356732 369977 423190 445915 507828 535098 634785 739954 846380 891830 1057975 1070196 1109931 1269570 1337745 1479908 1783660 1849885 2115950 2219862 2229575 2539140 2675490 3173925 3699770 4231900 4439724 4459150 5350980 5549655 6347850 6688725 7399540 8918300 9249425 11099310 12695700 13377450 18498850 22198620 26754900 27748275 36997700 37367677 55496550 74735354 110993100 112103031 149470708 186838385 224206062 373676770 448412124 560515155 747353540 934191925 1121030310 1868383850 2242060620 2802575775 3736767700 5605151550 11210303100