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10132233300 = 2234527832153
BaseRepresentation
bin10010110111110110…
…11001110001010100
3222011010120210010000
421123323121301110
5131222322431200
64353224531300
7506041363530
oct113373316124
928133523100
1010132233300
11432a421932
121b69320b30
13c56208627
146c1944bc0
153e47cd300
hex25bed9c54

10132233300 has 360 divisors, whose sum is σ = 38006692416. Its totient is φ = 2286973440.

The previous prime is 10132233299. The next prime is 10132233301. The reversal of 10132233300 is 333223101.

10132233300 is a `hidden beast` number, since 1 + 0 + 132 + 233 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (10132233299) and next prime (10132233301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132233301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4705024 + ... + 4707176.

Almost surely, 210132233300 is an apocalyptic number.

10132233300 is a gapful number since it is divisible by the number (10) 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 10132233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003346208).

10132233300 is an abundant number, since it is smaller than the sum of its proper divisors (27874459116).

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

10132233300 is a wasteful number, since it uses less digits than its factorization.

10132233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10132233300 its reverse (333223101), we get a palindrome (10465456401).

The spelling of 10132233300 in words is "ten billion, one hundred thirty-two million, two hundred thirty-three thousand, three hundred".