Search a number
-
+
13212223030000 = 245417831039091
BaseRepresentation
bin1100000001000011010111…
…0111000100001011110000
31201210002001112120110202201
43000100311313010023300
53212432113043430000
644033340024352544
72532360126525361
oct300206567041360
951702045513681
1013212223030000
1142342aa505285
12159474a915754
1374aba43caa07
143396915bdb68
1517da30c3496a
hexc0435dc42f0

13212223030000 has 400 divisors, whose sum is σ = 34614438034176. Its totient is φ = 4865840640000.

The previous prime is 13212223029977. The next prime is 13212223030001. The reversal of 13212223030000 is 3032221231.

It is a tau number, because it is divible by the number of its divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 13212223030000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212223030001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1453325455 + ... + 1453334545.

Almost surely, 213212223030000 is an apocalyptic number.

13212223030000 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 13212223030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307219017088).

13212223030000 is an abundant number, since it is smaller than the sum of its proper divisors (21402215004176).

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

13212223030000 is a wasteful number, since it uses less digits than its factorization.

13212223030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13212223030000 its reverse (3032221231), we get a palindrome (13215255251231).

The spelling of 13212223030000 in words is "thirteen trillion, two hundred twelve billion, two hundred twenty-three million, thirty thousand".