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109420747200 = 26325253311461
BaseRepresentation
bin110010111100111111…
…1000001100111000000
3101110102201102212220200
41211321333001213000
53243043202402300
6122133414205200
710622356001532
oct1457177014700
9343381385820
10109420747200
1142450182996
1219258953800
13a41a4b687b
1454202bb852
152ca6327200
hex1979fc19c0

109420747200 has 504 divisors, whose sum is σ = 398381439456. Its totient is φ = 28474368000.

The previous prime is 109420747181. The next prime is 109420747207. The reversal of 109420747200 is 2747024901.

109420747200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (109420747207) 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 71 ways as a sum of consecutive naturals, for example, 237354970 + ... + 237355430.

It is an arithmetic number, because the mean of its divisors is an integer number (790439364).

Almost surely, 2109420747200 is an apocalyptic number.

109420747200 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 109420747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199190719728).

109420747200 is an abundant number, since it is smaller than the sum of its proper divisors (288960692256).

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

109420747200 is a wasteful number, since it uses less digits than its factorization.

109420747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 109420747200 in words is "one hundred nine billion, four hundred twenty million, seven hundred forty-seven thousand, two hundred".