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13122031200 = 253525467513
BaseRepresentation
bin11000011100010001…
…00100111001100000
31020212111102020210120
430032020210321200
5203333214444300
610010030400240
7643114265505
oct141610447140
936774366716
1013122031200
115624054293
122662660080
13131175a305
148c6a534ac
1551c0093a0
hex30e224e60

13122031200 has 72 divisors (see below), whose sum is σ = 42712219368. Its totient is φ = 3499207680.

The previous prime is 13122031193. The next prime is 13122031253. The reversal of 13122031200 is 213022131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13122031200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2731357 + ... + 2736156.

It is an arithmetic number, because the mean of its divisors is an integer number (593225269).

Almost surely, 213122031200 is an apocalyptic number.

13122031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122031200 is an abundant number, since it is smaller than the sum of its proper divisors (29590188168).

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

13122031200 is a wasteful number, since it uses less digits than its factorization.

13122031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467536 (or 5467523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13122031200 its reverse (213022131), we get a palindrome (13335053331).

The spelling of 13122031200 in words is "thirteen billion, one hundred twenty-two million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5467513 10935026 16402539 21870052 27337565 32805078 43740104 54675130 65610156 82012695 87480208 109350260 131220312 136687825 164025390 174960416 218700520 262440624 273375650 328050780 410063475 437401040 524881248 546751300 656101560 820126950 874802080 1093502600 1312203120 1640253900 2187005200 2624406240 3280507800 4374010400 6561015600 13122031200