Search a number
-
+
13203003000 = 23353113471153
BaseRepresentation
bin11000100101111010…
…11101011001111000
31021002010210001020010
430102331131121320
5204014432044000
610022042101520
7645116450055
oct142275353170
937063701203
1013203003000
115665829630
1226857aa8a0
13132546ab15
148d36d002c
155241a0d50
hex312f5d678

13203003000 has 256 divisors, whose sum is σ = 45106813440. Its totient is φ = 3188736000.

The previous prime is 13203002977. The next prime is 13203003031. The reversal of 13203003000 is 30030231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11450424 + ... + 11451576.

It is an arithmetic number, because the mean of its divisors is an integer number (176198490).

Almost surely, 213203003000 is an apocalyptic number.

13203003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553406720).

13203003000 is an abundant number, since it is smaller than the sum of its proper divisors (31903810440).

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

13203003000 is a wasteful number, since it uses less digits than its factorization.

13203003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 13203003000 its reverse (30030231), we get a palindrome (13233033231).

The spelling of 13203003000 in words is "thirteen billion, two hundred three million, three thousand".