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2129779900 = 225271299969
BaseRepresentation
bin111111011110001…
…1101110010111100
312111102120000210001
41332330131302330
513330210424100
6551200324044
7103530554563
oct17674356274
95442500701
102129779900
119a3229186
124b5313624
1327c3168c1
14162bdcbda
15c6e9ad6a
hex7ef1dcbc

2129779900 has 36 divisors (see below), whose sum is σ = 4686731280. Its totient is φ = 839910400.

The previous prime is 2129779877. The next prime is 2129779913. The reversal of 2129779900 is 99779212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142885 + ... + 157084.

It is an arithmetic number, because the mean of its divisors is an integer number (130186980).

Almost surely, 22129779900 is an apocalyptic number.

2129779900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129779900 is an abundant number, since it is smaller than the sum of its proper divisors (2556951380).

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

2129779900 is a wasteful number, since it uses less digits than its factorization.

2129779900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300054 (or 300047 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 46.

The square root of 2129779900 is about 46149.5384592306. The cubic root of 2129779900 is about 1286.6040318095.

The spelling of 2129779900 in words is "two billion, one hundred twenty-nine million, seven hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 299969 599938 1199876 1499845 2999690 5999380 7499225 14998450 21297799 29996900 42595598 85191196 106488995 212977990 425955980 532444975 1064889950 2129779900