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13213330300 = 22529711231213
BaseRepresentation
bin11000100111001001…
…10110101101111100
31021002212012201121201
430103210312231330
5204030103032200
610023051305244
7645303311602
oct142344665574
937085181551
1013213330300
115670642695
12268914b224
131327645651
148d4c1b872
15525040c6a
hex313936b7c

13213330300 has 72 divisors (see below), whose sum is σ = 29018222576. Its totient is φ = 5221877760.

The previous prime is 13213330271. The next prime is 13213330301. The reversal of 13213330300 is 303331231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213330301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10892494 + ... + 10893706.

Almost surely, 213213330300 is an apocalyptic number.

13213330300 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 13213330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509111288).

13213330300 is an abundant number, since it is smaller than the sum of its proper divisors (15804892276).

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

13213330300 is a wasteful number, since it uses less digits than its factorization.

13213330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13213330300 its reverse (303331231), we get a palindrome (13516661531).

The spelling of 13213330300 in words is "thirteen billion, two hundred thirteen million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1123 1213 1940 2246 2425 2426 4492 4850 4852 5615 6065 9700 11230 12130 22460 24260 28075 30325 56150 60650 108931 112300 117661 121300 217862 235322 435724 470644 544655 588305 1089310 1176610 1362199 2178620 2353220 2723275 2724398 2941525 5446550 5448796 5883050 6810995 10893100 11766100 13621990 27243980 34054975 68109950 132133303 136219900 264266606 528533212 660666515 1321333030 2642666060 3303332575 6606665150 13213330300