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2200121000 = 235371128573
BaseRepresentation
bin1000001100100011…
…0010111010101000
312200022220201121222
42003020302322220
514001212333000
61002152121212
7105343501640
oct20310627250
95608821558
102200121000
11a29a02520
12514996208
13290a7475c
1416c2ad520
15cd242a85
hex83232ea8

2200121000 has 128 divisors (see below), whose sum is σ = 6418863360. Its totient is φ = 685728000.

The previous prime is 2200120999. The next prime is 2200121023. The reversal of 2200121000 is 1210022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62714 + ... + 91286.

It is an arithmetic number, because the mean of its divisors is an integer number (50147370).

Almost surely, 22200121000 is an apocalyptic number.

2200121000 is a gapful number since it is divisible by the number (20) 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 2200121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209431680).

2200121000 is an abundant number, since it is smaller than the sum of its proper divisors (4218742360).

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

2200121000 is a wasteful number, since it uses less digits than its factorization.

2200121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28612 (or 28598 counting only the distinct ones).

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

The square root of 2200121000 is about 46905.4474448331. The cubic root of 2200121000 is about 1300.6152905908.

Adding to 2200121000 its reverse (1210022), we get a palindrome (2201331022).

It can be divided in two parts, 2 and 200121000, that added together give a palindrome (200121002).

The spelling of 2200121000 in words is "two billion, two hundred million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 28573 38500 57146 77000 114292 142865 200011 228584 285730 314303 400022 571460 628606 714325 800044 1000055 1142920 1257212 1428650 1571515 1600088 2000110 2200121 2514424 2857300 3143030 3571625 4000220 4400242 5000275 5714600 6286060 7143250 7857575 8000440 8800484 10000550 11000605 12572120 14286500 15715150 17600968 20001100 22001210 25001375 28573000 31430300 39287875 40002200 44002420 50002750 55003025 62860600 78575750 88004840 100005500 110006050 157151500 200011000 220012100 275015125 314303000 440024200 550030250 1100060500 2200121000