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10332230112 = 2532293122443
BaseRepresentation
bin10011001111101100…
…10101000111100000
3222200001220200011100
421213312111013200
5132130022330422
64425131314400
7514020335601
oct114766250740
928601820140
1010332230112
114422302456
1220042aba00
13c88791339
14700325da8
154071367ac
hex267d951e0

10332230112 has 72 divisors (see below), whose sum is σ = 29482800984. Its totient is φ = 3432294144.

The previous prime is 10332230107. The next prime is 10332230137. The reversal of 10332230112 is 21103223301.

10332230112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23163 + ... + 145605.

It is an arithmetic number, because the mean of its divisors is an integer number (409483347).

Almost surely, 210332230112 is an apocalyptic number.

10332230112 is a gapful number since it is divisible by the number (12) 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 10332230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741400492).

10332230112 is an abundant number, since it is smaller than the sum of its proper divisors (19150570872).

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

10332230112 is a wasteful number, since it uses less digits than its factorization.

10332230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122752 (or 122741 counting only the distinct ones).

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

Adding to 10332230112 its reverse (21103223301), we get a palindrome (31435453413).

The spelling of 10332230112 in words is "ten billion, three hundred thirty-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 21096 28128 42192 84384 122443 244886 367329 489772 734658 979544 1101987 1469316 1959088 2203974 2938632 3918176 4407948 5877264 8815896 11754528 17631792 35263584 35875799 71751598 107627397 143503196 215254794 287006392 322882191 430509588 574012784 645764382 861019176 1148025568 1291528764 1722038352 2583057528 3444076704 5166115056 10332230112