Search a number
-
+
13133203200 = 2832521317539
BaseRepresentation
bin11000011101100110…
…01100011100000000
31020220021102211220100
430032303030130000
5203344100000300
610011110042400
7643311246105
oct141663143400
936807384810
1013133203200
11562a394a47
122666349400
131313b6c470
148c8320aac
1551ceb4700
hex30eccc700

13133203200 has 324 divisors, whose sum is σ = 50568907480. Its totient is φ = 3232604160.

The previous prime is 13133203141. The next prime is 13133203201. The reversal of 13133203200 is 230233131.

13133203200 is a `hidden beast` number, since 1 + 313 + 32 + 0 + 320 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133203201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 740031 + ... + 757569.

Almost surely, 213133203200 is an apocalyptic number.

13133203200 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 13133203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25284453740).

13133203200 is an abundant number, since it is smaller than the sum of its proper divisors (37435704280).

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

13133203200 is a wasteful number, since it uses less digits than its factorization.

13133203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17584 (or 17562 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13133203200 its reverse (230233131), we get a palindrome (13363436331).

The spelling of 13133203200 in words is "thirteen billion, one hundred thirty-three million, two hundred three thousand, two hundred".