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13203121320 = 2332536675337
BaseRepresentation
bin11000100101111011…
…11010010010101000
31021002011000001112100
430102331322102220
5204014444340240
610022044413400
7645120452034
oct142275722250
937064001470
1013203121320
1156658aa514
122685847260
1313254ac92c
148d37211c4
155241c5e30
hex312f7a4a8

13203121320 has 48 divisors (see below), whose sum is σ = 42910145460. Its totient is φ = 3520832256.

The previous prime is 13203121307. The next prime is 13203121331. The reversal of 13203121320 is 2312130231.

13203121320 is a `hidden beast` number, since 1 + 32 + 0 + 312 + 1 + 320 = 666.

13203121320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13200631236 + 2490084 = 114894^2 + 1578^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13203121293 and 13203121302.

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, 18337309 + ... + 18338028.

Almost surely, 213203121320 is an apocalyptic number.

13203121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13203121320 is an abundant number, since it is smaller than the sum of its proper divisors (29707024140).

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

13203121320 is a wasteful number, since it uses less digits than its factorization.

13203121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36675354 (or 36675347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13203121320 its reverse (2312130231), we get a palindrome (15515251551).

It can be divided in two parts, 132031 and 21320, that added together give a palindrome (153351).

The spelling of 13203121320 in words is "thirteen billion, two hundred three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 36675337 73350674 110026011 146701348 183376685 220052022 293402696 330078033 366753370 440104044 550130055 660156066 733506740 880208088 1100260110 1320312132 1467013480 1650390165 2200520220 2640624264 3300780330 4401040440 6601560660 13203121320