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13104400032200 = 235289736202249
BaseRepresentation
bin1011111010110001101100…
…0110111110000111001000
31201101202202011120122222202
42332230123012332013020
53204200302402012300
643512024523335332
72521522151261201
oct276543306760710
951352664518882
1013104400032200
1141a25aa207144
121577879081548
1374097cc3c6b9
143343835ac5a8
1517ad1ed14ad5
hexbeb1b1be1c8

13104400032200 has 48 divisors (see below), whose sum is σ = 30810064162500. Its totient is φ = 5182863825920.

The previous prime is 13104400032193. The next prime is 13104400032239. The reversal of 13104400032200 is 223000440131.

It can be written as a sum of positive squares in 6 ways, for example, as 597185837284 + 12507214194916 = 772778^2 + 3536554^2 .

It is a super-2 number, since 2×131044000322002 (a number of 27 digits) contains 22 as substring.

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

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, 368083325 + ... + 368118924.

Almost surely, 213104400032200 is an apocalyptic number.

13104400032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104400032200 is an abundant number, since it is smaller than the sum of its proper divisors (17705664130300).

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

13104400032200 is a wasteful number, since it uses less digits than its factorization.

13104400032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736202354 (or 736202345 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13104400032200 its reverse (223000440131), we get a palindrome (13327400472331).

The spelling of 13104400032200 in words is "thirteen trillion, one hundred four billion, four hundred million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 736202249 1472404498 2944808996 3681011245 5889617992 7362022490 14724044980 18405056225 29448089960 36810112450 65522000161 73620224900 131044000322 147240449800 262088000644 327610000805 524176001288 655220001610 1310440003220 1638050004025 2620880006440 3276100008050 6552200016100 13104400032200