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1301223122200 = 2352172131179593
BaseRepresentation
bin10010111011110110111…
…100010010010100011000
311121101200110212111110101
4102323312330102110120
5132304401104402300
62433435035225144
7163003344021331
oct22736674222430
94541613774411
101301223122200
11461933590a91
12190228ba81b4
13959216261a1
1446d9dbb7288
1523cab4cbb6a
hex12ef6f12518

1301223122200 has 96 divisors (see below), whose sum is σ = 3204826194960. Its totient is φ = 489639628800.

The previous prime is 1301223122071. The next prime is 1301223122203. The reversal of 1301223122200 is 22213221031.

It is a super-2 number, since 2×13012231222002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301223122203) 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, 7155604 + ... + 7335196.

Almost surely, 21301223122200 is an apocalyptic number.

1301223122200 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 1301223122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602413097480).

1301223122200 is an abundant number, since it is smaller than the sum of its proper divisors (1903603072760).

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

1301223122200 is a wasteful number, since it uses less digits than its factorization.

1301223122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181757 (or 181748 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1301223122200 its reverse (22213221031), we get a palindrome (1323436343231).

The spelling of 1301223122200 in words is "one trillion, three hundred one billion, two hundred twenty-three million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2131 3400 4262 8524 10655 17048 21310 36227 42620 53275 72454 85240 106550 144908 179593 181135 213100 289816 359186 362270 426200 718372 724540 897965 905675 1436744 1449080 1795930 1811350 3053081 3591860 3622700 4489825 6106162 7183720 7245400 8979650 12212324 15265405 17959300 24424648 30530810 35918600 61061620 76327025 122123240 152654050 305308100 382712683 610616200 765425366 1530850732 1913563415 3061701464 3827126830 6506115611 7654253660 9567817075 13012231222 15308507320 19135634150 26024462444 32530578055 38271268300 52048924888 65061156110 76542536600 130122312220 162652890275 260244624440 325305780550 650611561100 1301223122200