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109493130240 = 2103451323883
BaseRepresentation
bin110010111111001001…
…1001001010000000000
3101110121202122022210000
41211332103021100000
53243220220131430
6122144521440000
710624225152024
oct1457623112000
9343552568700
10109493130240
114248802138a
1219279040000
13a42c4aac80
145429b60384
152cac873e60
hex197e4c9400

109493130240 has 880 divisors, whose sum is σ = 441413900928. Its totient is φ = 25751126016.

The previous prime is 109493130223. The next prime is 109493130259. The reversal of 109493130240 is 42031394901.

109493130240 is a `hidden beast` number, since 10 + 9 + 493 + 130 + 24 + 0 = 666.

109493130240 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 junction number, because it is equal to n+sod(n) for n = 109493130195 and 109493130204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124000839 + ... + 124001721.

Almost surely, 2109493130240 is an apocalyptic number.

109493130240 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 109493130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220706950464).

109493130240 is an abundant number, since it is smaller than the sum of its proper divisors (331920770688).

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

109493130240 is a wasteful number, since it uses less digits than its factorization.

109493130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 109493130240 in words is "one hundred nine billion, four hundred ninety-three million, one hundred thirty thousand, two hundred forty".