Search a number
-
+
12330213210 = 23257192334421
BaseRepresentation
bin10110111101111000…
…00001111101011010
31011211022110201201100
423132330001331122
5200223013310320
65355303132230
7614361040320
oct133674017532
934738421640
1012330213210
1152580a1757
122481444076
1312166b0663
1484d817d10
154c274b790
hex2def01f5a

12330213210 has 192 divisors, whose sum is σ = 38740965120. Its totient is φ = 2657940480.

The previous prime is 12330213209. The next prime is 12330213317. The reversal of 12330213210 is 1231203321.

12330213210 is a `hidden beast` number, since 12 + 330 + 2 + 1 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2786800 + ... + 2791220.

It is an arithmetic number, because the mean of its divisors is an integer number (201775860).

Almost surely, 212330213210 is an apocalyptic number.

12330213210 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 12330213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19370482560).

12330213210 is an abundant number, since it is smaller than the sum of its proper divisors (26410751910).

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

12330213210 is a wasteful number, since it uses less digits than its factorization.

12330213210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4690 counting only the distinct ones).

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

Adding to 12330213210 its reverse (1231203321), we get a palindrome (13561416531).

The spelling of 12330213210 in words is "twelve billion, three hundred thirty million, two hundred thirteen thousand, two hundred ten".