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214142230302 = 23721113293747101
BaseRepresentation
bin1100011101101111011…
…1110001111100011110
3202110201221101102100220
43013123313301330132
512002030402332202
6242213043102210
721320433632100
oct3073367617436
9673657342326
10214142230302
11828a9785140
1235603971966
13172692395a0
14a51641d570
155884ceeabc
hex31dbdf1f1e

214142230302 has 768 divisors, whose sum is σ = 641374433280. Its totient is φ = 46738944000.

The previous prime is 214142230279. The next prime is 214142230303. The reversal of 214142230302 is 203032241412.

It is a happy number.

214142230302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2141422303022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214142230303) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2120220052 + ... + 2120220152.

It is an arithmetic number, because the mean of its divisors is an integer number (835122960).

Almost surely, 2214142230302 is an apocalyptic number.

214142230302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214142230302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320687216640).

214142230302 is an abundant number, since it is smaller than the sum of its proper divisors (427232202978).

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

214142230302 is a wasteful number, since it uses less digits than its factorization.

214142230302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214142230302 its reverse (203032241412), we get a palindrome (417174471714).

It can be divided in two parts, 214142 and 230302, that added together give a palindrome (444444).

The spelling of 214142230302 in words is "two hundred fourteen billion, one hundred forty-two million, two hundred thirty thousand, three hundred two".