Search a number
-
+
13011303022200 = 23325274191127647
BaseRepresentation
bin1011110101010110111000…
…0110000011111001111000
31201001212110002010112211100
42331111232012003321320
53201134122033202300
643401150551331400
72512015134612030
oct275255606037170
951055402115740
1013011303022200
11416707639665a
121561817080b60
13734c645cb332
1432da712548c0
151786c1b30700
hexbd56e183e78

13011303022200 has 576 divisors, whose sum is σ = 51214642053120. Its totient is φ = 2898185472000.

The previous prime is 13011303022181. The next prime is 13011303022217. The reversal of 13011303022200 is 222030311031.

13011303022200 is a `hidden beast` number, since 1 + 30 + 1 + 130 + 302 + 2 + 200 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 470608777 + ... + 470636423.

It is an arithmetic number, because the mean of its divisors is an integer number (88914309120).

Almost surely, 213011303022200 is an apocalyptic number.

13011303022200 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 13011303022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25607321026560).

13011303022200 is an abundant number, since it is smaller than the sum of its proper divisors (38203339030920).

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

13011303022200 is a wasteful number, since it uses less digits than its factorization.

13011303022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28628 (or 28616 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13011303022200 its reverse (222030311031), we get a palindrome (13233333333231).

The spelling of 13011303022200 in words is "thirteen trillion, eleven billion, three hundred three million, twenty-two thousand, two hundred".