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13200202000 = 24536600101
BaseRepresentation
bin11000100101100101…
…10001100100010000
31021001221111201222101
430102302301210100
5204013222431000
610021502050144
7645053602636
oct142262614420
937057451871
1013200202000
115664196157
122684879954
1313249c9c1b
148d31a1356
15523ceae6a
hex312cb1910

13200202000 has 40 divisors (see below), whose sum is σ = 31918093272. Its totient is φ = 5280080000.

The previous prime is 13200201961. The next prime is 13200202009. The reversal of 13200202000 is 20200231.

It can be written as a sum of positive squares in 4 ways, for example, as 3225785616 + 9974416384 = 56796^2 + 99872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13200202009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3298051 + ... + 3302050.

Almost surely, 213200202000 is an apocalyptic number.

13200202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200202000 is an abundant number, since it is smaller than the sum of its proper divisors (18717891272).

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

13200202000 is an equidigital number, since it uses as much as digits as its factorization.

13200202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600124 (or 6600108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 13200202000 its reverse (20200231), we get a palindrome (13220402231).

The spelling of 13200202000 in words is "thirteen billion, two hundred million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6600101 13200202 26400404 33000505 52800808 66001010 105601616 132002020 165002525 264004040 330005050 528008080 660010100 825012625 1320020200 1650025250 2640040400 3300050500 6600101000 13200202000