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12200300200 = 2352117375967
BaseRepresentation
bin10110101110011000…
…11100111010101000
31011111021000110120101
423113030130322220
5144441234101300
65334342435144
7611222561224
oct132714347250
934437013511
1012200300200
1151a082a130
122445a32ab4
1311c57c565a
1483a47b784
154b6138b6a
hex2d731cea8

12200300200 has 96 divisors (see below), whose sum is σ = 31368706560. Its totient is φ = 4375641600.

The previous prime is 12200300153. The next prime is 12200300207. The reversal of 12200300200 is 200300221.

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

It is not an unprimeable number, because it can be changed into a prime (12200300207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122617 + ... + 198583.

It is an arithmetic number, because the mean of its divisors is an integer number (326757360).

Almost surely, 212200300200 is an apocalyptic number.

12200300200 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 12200300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15684353280).

12200300200 is an abundant number, since it is smaller than the sum of its proper divisors (19168406360).

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

12200300200 is a wasteful number, since it uses less digits than its factorization.

12200300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76067 (or 76058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12200300200 its reverse (200300221), we get a palindrome (12400600421).

The spelling of 12200300200 in words is "twelve billion, two hundred million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 146 200 220 275 292 365 440 550 584 730 803 1100 1460 1606 1825 2200 2920 3212 3650 4015 6424 7300 8030 14600 16060 20075 32120 40150 75967 80300 151934 160600 303868 379835 607736 759670 835637 1519340 1671274 1899175 3038680 3342548 3798350 4178185 5545591 6685096 7596700 8356370 11091182 15193400 16712740 20890925 22182364 27727955 33425480 41781850 44364728 55455910 61001501 83563700 110911820 122003002 138639775 167127400 221823640 244006004 277279550 305007505 488012008 554559100 610015010 1109118200 1220030020 1525037525 2440060040 3050075050 6100150100 12200300200