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109024134912 = 28327112921191
BaseRepresentation
bin110010110001001011…
…0000100011100000000
3101102102002010220010200
41211202112010130000
53241240134304122
6122030205325200
710606501566510
oct1454226043400
9342362126120
10109024134912
1142267311240
1219167b66800
13a386290244
1453c3759840
152c815d25ac
hex1962584700

109024134912 has 432 divisors, whose sum is σ = 405441953280. Its totient is φ = 27340185600.

The previous prime is 109024134907. The next prime is 109024134913. The reversal of 109024134912 is 219431420901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109024134913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5134237 + ... + 5155427.

It is an arithmetic number, because the mean of its divisors is an integer number (938523040).

Almost surely, 2109024134912 is an apocalyptic number.

109024134912 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 109024134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202720976640).

109024134912 is an abundant number, since it is smaller than the sum of its proper divisors (296417818368).

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

109024134912 is a wasteful number, since it uses less digits than its factorization.

109024134912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21260 (or 21243 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 109024134912 in words is "one hundred nine billion, twenty-four million, one hundred thirty-four thousand, nine hundred twelve".