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11212300000 = 25551110193
BaseRepresentation
bin10100111000100111…
…00001111011100000
31001221101220212002101
422130103201323200
5140430322100000
65052330300144
7544564656166
oct123423417340
931841825071
1011212300000
114834061a40
12220ab87654
131098bca355
14785175236
15459527e6a
hex29c4e1ee0

11212300000 has 144 divisors (see below), whose sum is σ = 30102229584. Its totient is φ = 4076800000.

The previous prime is 11212299983. The next prime is 11212300019. The reversal of 11212300000 is 321211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11212300000.

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, 1094904 + ... + 1105096.

It is an arithmetic number, because the mean of its divisors is an integer number (209043261).

Almost surely, 211212300000 is an apocalyptic number.

11212300000 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 11212300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051114792).

11212300000 is an abundant number, since it is smaller than the sum of its proper divisors (18889929584).

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

11212300000 is an equidigital number, since it uses as much as digits as its factorization.

11212300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11212300000 its reverse (321211), we get a palindrome (11212621211).

The spelling of 11212300000 in words is "eleven billion, two hundred twelve million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 10193 11000 12500 13750 20000 20386 22000 25000 27500 34375 40772 44000 50000 50965 55000 68750 81544 100000 101930 110000 112123 137500 163088 203860 220000 224246 254825 275000 326176 407720 448492 509650 550000 560615 815440 896984 1019300 1100000 1121230 1274125 1630880 1793968 2038600 2242460 2548250 2803075 3587936 4077200 4484920 5096500 5606150 6370625 8154400 8969840 10193000 11212300 12741250 14015375 17939680 20386000 22424600 25482500 28030750 31853125 40772000 44849200 50965000 56061500 63706250 70076875 89698400 101930000 112123000 127412500 140153750 203860000 224246000 254825000 280307500 350384375 448492000 509650000 560615000 700768750 1019300000 1121230000 1401537500 2242460000 2803075000 5606150000 11212300000