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20130212200 = 2352773919457
BaseRepresentation
bin10010101111110110…
…101010100101101000
31220221220112201210211
4102233312222211220
5312211313242300
613125300150504
71311562660210
oct225766524550
956856481724
1020130212200
11859aa8640a
123a99698434
131b8a668b87
14d8d6dd240
157cc3dc4ba
hex4afdaa968

20130212200 has 96 divisors (see below), whose sum is σ = 53563982400. Its totient is φ = 6892093440.

The previous prime is 20130212161. The next prime is 20130212213. The reversal of 20130212200 is 221203102.

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 23 ways as a sum of consecutive naturals, for example, 1024872 + ... + 1044328.

It is an arithmetic number, because the mean of its divisors is an integer number (557958150).

Almost surely, 220130212200 is an apocalyptic number.

20130212200 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 20130212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26781991200).

20130212200 is an abundant number, since it is smaller than the sum of its proper divisors (33433770200).

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

20130212200 is a wasteful number, since it uses less digits than its factorization.

20130212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20219 (or 20210 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20130212200 its reverse (221203102), we get a palindrome (20351415302).

The spelling of 20130212200 in words is "twenty billion, one hundred thirty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 739 1400 1478 2956 3695 5173 5912 7390 10346 14780 18475 19457 20692 25865 29560 36950 38914 41384 51730 73900 77828 97285 103460 129325 136199 147800 155656 194570 206920 258650 272398 389140 486425 517300 544796 680995 778280 972850 1034600 1089592 1361990 1945700 2723980 3404975 3891400 5447960 6809950 13619900 14378723 27239800 28757446 57514892 71893615 100651061 115029784 143787230 201302122 287574460 359468075 402604244 503255305 575148920 718936150 805208488 1006510610 1437872300 2013021220 2516276525 2875744600 4026042440 5032553050 10065106100 20130212200