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13022030211200 = 27529374342993
BaseRepresentation
bin1011110101111110110101…
…1111000010100010000000
31201002220010200020012201122
42331133231133002202000
53201323104213224300
643410123232251412
72512545022325363
oct275375537024200
951086120205648
1013022030211200
11417068063050a
12156390b6a0b68
13735c83b5754a
143303abbcc0da
15178aed781c85
hexbd7ed7c2880

13022030211200 has 96 divisors (see below), whose sum is σ = 32202822780660. Its totient is φ = 5203251855360.

The previous prime is 13022030211191. The next prime is 13022030211241. The reversal of 13022030211200 is 211203022031.

It can be written as a sum of positive squares in 6 ways, for example, as 2945671959616 + 10076358251584 = 1716296^2 + 3174328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826904 + ... + 5169896.

Almost surely, 213022030211200 is an apocalyptic number.

13022030211200 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 13022030211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101411390330).

13022030211200 is an abundant number, since it is smaller than the sum of its proper divisors (19180792569460).

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

13022030211200 is an equidigital number, since it uses as much as digits as its factorization.

13022030211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343954 (or 4343937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13022030211200 its reverse (211203022031), we get a palindrome (13233233233231).

The spelling of 13022030211200 in words is "thirteen trillion, twenty-two billion, thirty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 937 1600 1874 3200 3748 4685 7496 9370 14992 18740 23425 29984 37480 46850 59968 74960 93700 119936 149920 187400 299840 374800 599680 749600 1499200 2998400 4342993 8685986 17371972 21714965 34743944 43429930 69487888 86859860 108574825 138975776 173719720 217149650 277951552 347439440 434299300 555903104 694878880 868598600 1389757760 1737197200 2779515520 3474394400 4069384441 6948788800 8138768882 13897577600 16277537764 20346922205 32555075528 40693844410 65110151056 81387688820 101734611025 130220302112 162775377640 203469222050 260440604224 325550755280 406938444100 520881208448 651101510560 813876888200 1302203021120 1627753776400 2604406042240 3255507552800 6511015105600 13022030211200