Search a number
-
+
13321101132300 = 2235213232273072131
BaseRepresentation
bin1100000111011000111110…
…0000000100001000001100
31202011111002102221010211010
43001312033200010020030
53221223103342213200
644155343540125220
72543263206241143
oct301661740041014
952144072833733
1013321101132300
1142764a1344005
1215b1875996810
1375823634ab10
14340a5d7a475a
151817a45bd150
hexc1d8f80420c

13321101132300 has 576 divisors, whose sum is σ = 43664829272064. Its totient is φ = 3111024153600.

The previous prime is 13321101132299. The next prime is 13321101132329. The reversal of 13321101132300 is 323110112331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6251102235 + ... + 6251104365.

It is an arithmetic number, because the mean of its divisors is an integer number (75806995264).

Almost surely, 213321101132300 is an apocalyptic number.

13321101132300 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 13321101132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21832414636032).

13321101132300 is an abundant number, since it is smaller than the sum of its proper divisors (30343728139764).

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

13321101132300 is a wasteful number, since it uses less digits than its factorization.

13321101132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13321101132300 its reverse (323110112331), we get a palindrome (13644211244631).

The spelling of 13321101132300 in words is "thirteen trillion, three hundred twenty-one billion, one hundred one million, one hundred thirty-two thousand, three hundred".