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109013402880 = 283451955339
BaseRepresentation
bin110010110000110110…
…1001000010100000000
3101102101022221122120000
41211201231020110000
53241224412343010
6122025143320000
710606311431004
oct1454155102400
9342338848500
10109013402880
1142261251098
1219164450000
13a383ca3425
1453c2164704
152c806b27c0
hex1961b48500

109013402880 has 360 divisors, whose sum is σ = 410607304800. Its totient is φ = 27539730432.

The previous prime is 109013402879. The next prime is 109013402917. The reversal of 109013402880 is 88204310901.

109013402880 is digitally balanced in base 3, 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 (360).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1942251 + ... + 1997589.

Almost surely, 2109013402880 is an apocalyptic number.

109013402880 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 109013402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205303652400).

109013402880 is an abundant number, since it is smaller than the sum of its proper divisors (301593901920).

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

109013402880 is an equidigital number, since it uses as much as digits as its factorization.

109013402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55391 (or 55368 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 109013402880 in words is "one hundred nine billion, thirteen million, four hundred two thousand, eight hundred eighty".