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42312223011300 = 223521137418452133
BaseRepresentation
bin10011001111011100101010…
…00001011011000111100100
312112211000020120110012100220
421213232111001123013210
521021220413042330200
6225553544504004340
711624646221255544
oct1147562501330744
9175730216405326
1042312223011300
11125335708a3490
1248b4485a606b0
131a7c0440754a8
14a63ccb57b324
154d59884cb4a0
hex267b9505b1e4

42312223011300 has 288 divisors, whose sum is σ = 140507734679424. Its totient is φ = 9736856064000.

The previous prime is 42312223011299. The next prime is 42312223011313. The reversal of 42312223011300 is 311032221324.

42312223011300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 780034 + ... + 9232166.

It is an arithmetic number, because the mean of its divisors is an integer number (487874078748).

Almost surely, 242312223011300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312223011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253867339712).

42312223011300 is an abundant number, since it is smaller than the sum of its proper divisors (98195511668124).

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

42312223011300 is a wasteful number, since it uses less digits than its factorization.

42312223011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452239 (or 8452232 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42312223011300 its reverse (311032221324), we get a palindrome (42623255232624).

The spelling of 42312223011300 in words is "forty-two trillion, three hundred twelve billion, two hundred twenty-three million, eleven thousand, three hundred".