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13121235200 = 28522050193
BaseRepresentation
bin11000011100001011…
…00010100100000000
31020212102220210220002
430032011202210000
5203333014011300
610010001335132
7643104442013
oct141605424400
936772823802
1013121235200
115623660237
1226623374a8
13131153bbc8
148c68c737a
1551bded5d5
hex30e162900

13121235200 has 54 divisors (see below), whose sum is σ = 32477123154. Its totient is φ = 5248491520.

The previous prime is 13121235187. The next prime is 13121235221. The reversal of 13121235200 is 253212131.

It can be written as a sum of positive squares in 3 ways, for example, as 55830784 + 13065404416 = 7472^2 + 114304^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1018697 + ... + 1031496.

Almost surely, 213121235200 is an apocalyptic number.

13121235200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121235200 is an abundant number, since it is smaller than the sum of its proper divisors (19355887954).

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

13121235200 is an equidigital number, since it uses as much as digits as its factorization.

13121235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050219 (or 2050200 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13121235200 its reverse (253212131), we get a palindrome (13374447331).

The spelling of 13121235200 in words is "thirteen billion, one hundred twenty-one million, two hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 2050193 4100386 8200772 10250965 16401544 20501930 32803088 41003860 51254825 65606176 82007720 102509650 131212352 164015440 205019300 262424704 328030880 410038600 524849408 656061760 820077200 1312123520 1640154400 2624247040 3280308800 6560617600 13121235200