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13230033300 = 223252113114297
BaseRepresentation
bin11000101001001001…
…00100100110010100
31021011000122022211100
430110210210212110
5204043342031200
610024445310100
7645565266441
oct142444444624
937130568740
1013230033300
11567a010920
122692865330
13132ac43193
148d71289c8
1552673ed00
hex314924994

13230033300 has 216 divisors, whose sum is σ = 45394719552. Its totient is φ = 3196224000.

The previous prime is 13230033293. The next prime is 13230033331. The reversal of 13230033300 is 333003231.

13230033300 is a `hidden beast` number, since 1 + 32 + 300 + 3 + 330 + 0 = 666.

It is a super-2 number, since 2×132300333002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3076752 + ... + 3081048.

Almost surely, 213230033300 is an apocalyptic number.

13230033300 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 13230033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697359776).

13230033300 is an abundant number, since it is smaller than the sum of its proper divisors (32164686252).

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

13230033300 is a wasteful number, since it uses less digits than its factorization.

13230033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13230033300 its reverse (333003231), we get a palindrome (13563036531).

It can be divided in two parts, 132300 and 33300, that added together give a triangular number (165600 = T575).

The spelling of 13230033300 in words is "thirteen billion, two hundred thirty million, thirty-three thousand, three hundred".