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12030210310338 = 232111926315837681
BaseRepresentation
bin1010111100010000000001…
…1010011000000011000010
31120121002002001002212201100
42233010000122120003002
53034100332314412323
641330334033515230
72351103553300023
oct257040032300302
946532061085640
1012030210310338
113918a90103130
121423651112b16
136935a050bb6c
142d839dd30c4a
1515ce0023d943
hexaf1006980c2

12030210310338 has 192 divisors, whose sum is σ = 30068326379520. Its totient is φ = 3437896089600.

The previous prime is 12030210310337. The next prime is 12030210310367. The reversal of 12030210310338 is 83301301203021.

12030210310338 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 2 + 10 + 310 + 338 = 666.

It is a super-2 number, since 2×120302103103382 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12030210310337) 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, 1566225858 + ... + 1566233538.

It is an arithmetic number, because the mean of its divisors is an integer number (156605866560).

Almost surely, 212030210310338 is an apocalyptic number.

12030210310338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030210310338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034163189760).

12030210310338 is an abundant number, since it is smaller than the sum of its proper divisors (18038116069182).

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

12030210310338 is a wasteful number, since it uses less digits than its factorization.

12030210310338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9565 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12030210310338 its reverse (83301301203021), we get a palindrome (95331511513359).

The spelling of 12030210310338 in words is "twelve trillion, thirty billion, two hundred ten million, three hundred ten thousand, three hundred thirty-eight".