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13122203223200 = 255297169100557
BaseRepresentation
bin1011111011110100000001…
…0000110000010010100000
31201110110200220102110211012
42332331000100300102200
53204443233011120300
643524131255440052
72523022300016141
oct276750020602240
951413626373735
1013122203223200
1141aa105696035
12157b207386028
13742559462246
14335191c07ac8
1517b512c94435
hexbef404304a0

13122203223200 has 72 divisors (see below), whose sum is σ = 32364832197852. Its totient is φ = 5194769080320.

The previous prime is 13122203223121. The next prime is 13122203223263. The reversal of 13122203223200 is 232230222131.

It can be written as a sum of positive squares in 6 ways, for example, as 4622482800016 + 8499720423184 = 2149996^2 + 2915428^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84472679 + ... + 84627878.

Almost surely, 213122203223200 is an apocalyptic number.

13122203223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122203223200 is an abundant number, since it is smaller than the sum of its proper divisors (19242628974652).

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

13122203223200 is a wasteful number, since it uses less digits than its factorization.

13122203223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169100674 (or 169100661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13122203223200 its reverse (232230222131), we get a palindrome (13354433445331).

The spelling of 13122203223200 in words is "thirteen trillion, one hundred twenty-two billion, two hundred three million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 160 194 200 388 400 485 776 800 970 1552 1940 2425 3104 3880 4850 7760 9700 15520 19400 38800 77600 169100557 338201114 676402228 845502785 1352804456 1691005570 2705608912 3382011140 4227513925 5411217824 6764022280 8455027850 13528044560 16402754029 16910055700 27056089120 32805508058 33820111400 65611016116 67640222800 82013770145 131222032232 135280445600 164027540290 262444064464 328055080580 410068850725 524888128928 656110161160 820137701450 1312220322320 1640275402900 2624440644640 3280550805800 6561101611600 13122203223200