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105422630016 = 27311291018521
BaseRepresentation
bin110001000101110101…
…1011010110010000000
3101002010002021111012110
41202023223122302000
53211401143130031
6120232552455320
710421320366314
oct1421353326200
9332102244173
10105422630016
1140789365310
12185219aa540
139c310a4162
1451612d7b44
152b20324c46
hex188badac80

105422630016 has 256 divisors, whose sum is σ = 319186396800. Its totient is φ = 30535680000.

The previous prime is 105422630003. The next prime is 105422630017. The reversal of 105422630016 is 610036224501.

It is a super-2 number, since 2×1054226300162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105422630017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12367836 + ... + 12376356.

Almost surely, 2105422630016 is an apocalyptic number.

105422630016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105422630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159593198400).

105422630016 is an abundant number, since it is smaller than the sum of its proper divisors (213763766784).

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

105422630016 is a wasteful number, since it uses less digits than its factorization.

105422630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 105422630016 its reverse (610036224501), we get a palindrome (715458854517).

The spelling of 105422630016 in words is "one hundred five billion, four hundred twenty-two million, six hundred thirty thousand, sixteen".