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2099130880 = 29571123463
BaseRepresentation
bin111110100011110…
…0011001000000000
312102021212220020011
41331013203020000
513244334142010
6544143354304
7103006214050
oct17507431000
95367786204
102099130880
119879a5110
124a6bb2994
13275b753a2
1415cb01560
15c4444a8a
hex7d1e3200

2099130880 has 320 divisors, whose sum is σ = 6561865728. Its totient is φ = 624476160.

The previous prime is 2099130863. The next prime is 2099130881. The reversal of 2099130880 is 880319902.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099130881) 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 31 ways as a sum of consecutive naturals, for example, 4533529 + ... + 4533991.

Almost surely, 22099130880 is an apocalyptic number.

2099130880 is a gapful number since it is divisible by the number (20) 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 2099130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280932864).

2099130880 is an abundant number, since it is smaller than the sum of its proper divisors (4462734848).

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

2099130880 is a wasteful number, since it uses less digits than its factorization.

2099130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 2099130880 is about 45816.2730915556. The cubic root of 2099130880 is about 1280.4024776001.

The spelling of 2099130880 in words is "two billion, ninety-nine million, one hundred thirty thousand, eight hundred eighty".