Search a number
-
+
12211210310130 = 232513111725793623
BaseRepresentation
bin1011000110110010010011…
…0110100101000111110010
31121020101021020112112210100
42301230210312211013302
53100032024314411010
641545430320013230
72400142114020306
oct261544466450762
947211236475710
1012211210310130
113988821968a17
121452745761216
136a7687390460
14303050877d06
151629956282c0
hexb1b24da51f2

12211210310130 has 192 divisors, whose sum is σ = 34244717794560. Its totient is φ = 3001152342528.

The previous prime is 12211210310129. The next prime is 12211210310137. The reversal of 12211210310130 is 3101301211221.

12211210310130 is a `hidden beast` number, since 1 + 2 + 2 + 11 + 210 + 310 + 130 = 666.

12211210310130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122112103101302 (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12211210310137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3370467499 + ... + 3370471121.

It is an arithmetic number, because the mean of its divisors is an integer number (178357905180).

Almost surely, 212211210310130 is an apocalyptic number.

12211210310130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211210310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122358897280).

12211210310130 is an abundant number, since it is smaller than the sum of its proper divisors (22033507484430).

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

12211210310130 is a wasteful number, since it uses less digits than its factorization.

12211210310130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12211210310130 its reverse (3101301211221), we get a palindrome (15312511521351).

The spelling of 12211210310130 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, three hundred ten thousand, one hundred thirty".