Search a number
-
+
13320002302200 = 23335211435214941
BaseRepresentation
bin1100000111010100111000…
…0000010111000011111000
31202011101020212021210022000
43001311032000113003320
53221213331042132300
644155042524301000
72543224034316636
oct301651600270370
952141225253260
1013320002302200
114275a88058760
1215b16099a1760
137580bc7b97a9
1434099788c356
1518173cdb8c00
hexc1d4e0170f8

13320002302200 has 384 divisors, whose sum is σ = 51214902393600. Its totient is φ = 3153995712000.

The previous prime is 13320002302181. The next prime is 13320002302273. The reversal of 13320002302200 is 220320002331.

It is a happy number.

13320002302200 is a `hidden beast` number, since 1 + 33 + 200 + 0 + 230 + 2 + 200 = 666.

It is a super-2 number, since 2×133200023022002 (a number of 27 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53271 + ... + 5161670.

It is an arithmetic number, because the mean of its divisors is an integer number (133372141650).

Almost surely, 213320002302200 is an apocalyptic number.

13320002302200 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 13320002302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25607451196800).

13320002302200 is an abundant number, since it is smaller than the sum of its proper divisors (37894900091400).

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

13320002302200 is a wasteful number, since it uses less digits than its factorization.

13320002302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215020 (or 5215005 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13320002302200 its reverse (220320002331), we get a palindrome (13540322304531).

The spelling of 13320002302200 in words is "thirteen trillion, three hundred twenty billion, two million, three hundred two thousand, two hundred".