Search a number
-
+
3232130110110 = 23251141611498761
BaseRepresentation
bin101111000010001001111…
…101111001001010011110
3102102222200201000200001200
4233002021331321022132
5410423400302010420
610512453045220330
7452341124431356
oct57021175711236
912388621020050
103232130110110
111036814205190
124424a9a016a6
131a5a33615145
14b26162a9b66
155911d805b90
hex2f089f7929e

3232130110110 has 384 divisors, whose sum is σ = 9610203657600. Its totient is φ = 746772480000.

The previous prime is 3232130110063. The next prime is 3232130110129. The reversal of 3232130110110 is 110110312323.

3232130110110 is a `hidden beast` number, since 32 + 321 + 301 + 1 + 0 + 1 + 10 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 368918130 + ... + 368926890.

It is an arithmetic number, because the mean of its divisors is an integer number (25026572025).

Almost surely, 23232130110110 is an apocalyptic number.

3232130110110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3232130110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805101828800).

3232130110110 is an abundant number, since it is smaller than the sum of its proper divisors (6378073547490).

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

3232130110110 is a wasteful number, since it uses less digits than its factorization.

3232130110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9036 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3232130110110 its reverse (110110312323), we get a palindrome (3342240422433).

The spelling of 3232130110110 in words is "three trillion, two hundred thirty-two billion, one hundred thirty million, one hundred ten thousand, one hundred ten".