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13122011221300 = 2252271553483221
BaseRepresentation
bin1011111011110011010011…
…0100010100110100110100
31201110110012112010202201201
42332330310310110310310
53204442334333040200
643524100240302244
72523014446022632
oct276746464246464
951413175122651
1013122011221300
1141aa017276183
12157b173011984
13742528748557
14335174508352
1517b500eb9c6a
hexbef34d14d34

13122011221300 has 36 divisors (see below), whose sum is σ = 28474928136396. Its totient is φ = 5248774297600.

The previous prime is 13122011221201. The next prime is 13122011221367. The reversal of 13122011221300 is 312211022131.

It can be written as a sum of positive squares in 6 ways, for example, as 2341597731984 + 10780413489316 = 1530228^2 + 3283354^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26913690 + ... + 27396910.

It is an arithmetic number, because the mean of its divisors is an integer number (790970226011).

Almost surely, 213122011221300 is an apocalyptic number.

13122011221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122011221300 is an abundant number, since it is smaller than the sum of its proper divisors (15352916915096).

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

13122011221300 is a wasteful number, since it uses less digits than its factorization.

13122011221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754788 (or 754781 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13122011221300 its reverse (312211022131), we get a palindrome (13434222243431).

The spelling of 13122011221300 in words is "thirteen trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 271553 483221 543106 966442 1086212 1357765 1932884 2416105 2715530 4832210 5431060 6788825 9664420 12080525 13577650 24161050 27155300 48322100 131220112213 262440224426 524880448852 656100561065 1312201122130 2624402244260 3280502805325 6561005610650 13122011221300