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11212340300 = 22527431372719
BaseRepresentation
bin10100111000100111…
…01011110001001100
31001221101222220100222
422130103223301030
5140430324342200
65052331210512
7544565214530
oct123423536114
931841886328
1011212340300
11483408a247
12220aba6a38
131098c127b5
14785185bc0
15459534d85
hex29c4ebc4c

11212340300 has 144 divisors (see below), whose sum is σ = 28671498240. Its totient is φ = 3726051840.

The previous prime is 11212340299. The next prime is 11212340329. The reversal of 11212340300 is 304321211.

11212340300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4122341 + ... + 4125059.

Almost surely, 211212340300 is an apocalyptic number.

11212340300 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 11212340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335749120).

11212340300 is an abundant number, since it is smaller than the sum of its proper divisors (17459157940).

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

11212340300 is a wasteful number, since it uses less digits than its factorization.

11212340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11212340300 its reverse (304321211), we get a palindrome (11516661511).

The spelling of 11212340300 in words is "eleven billion, two hundred twelve million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 137 140 172 175 215 274 301 350 430 548 602 685 700 860 959 1075 1204 1370 1505 1918 2150 2719 2740 3010 3425 3836 4300 4795 5438 5891 6020 6850 7525 9590 10876 11782 13595 13700 15050 19033 19180 23564 23975 27190 29455 30100 38066 41237 47950 54380 58910 67975 76132 82474 95165 95900 116917 117820 135950 147275 164948 190330 206185 233834 271900 294550 372503 380660 412370 467668 475825 584585 589100 745006 818419 824740 951650 1030925 1169170 1490012 1636838 1862515 1903300 2061850 2338340 2607521 2922925 3273676 3725030 4092095 4123700 5215042 5845850 7450060 8184190 9312575 10430084 11691700 13037605 16017629 16368380 18625150 20460475 26075210 32035258 37250300 40920950 52150420 64070516 65188025 80088145 81841900 112123403 130376050 160176290 224246806 260752100 320352580 400440725 448493612 560617015 800881450 1121234030 1601762900 2242468060 2803085075 5606170150 11212340300