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2130782227 = 717195915973
BaseRepresentation
bin111111100000001…
…0010100000010011
312111111102221201021
41333000102200103
513330440012402
6551234020311
7103542231040
oct17700224023
95444387637
102130782227
119a3853252
124b5717697
1327c5a7bb2
14162dc01c7
15c70e7d37
hex7f012813

2130782227 has 32 divisors (see below), whose sum is σ = 2760307200. Its totient is φ = 1600777728.

The previous prime is 2130782209. The next prime is 2130782281. The reversal of 2130782227 is 7222870312.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2130782227 - 223 = 2122393619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130782192 and 2130782201.

It is not an unprimeable number, because it can be changed into a prime (2130782287) 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, 125413 + ... + 141385.

It is an arithmetic number, because the mean of its divisors is an integer number (86259600).

Almost surely, 22130782227 is an apocalyptic number.

2130782227 is a deficient number, since it is larger than the sum of its proper divisors (629524973).

2130782227 is a wasteful number, since it uses less digits than its factorization.

2130782227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16075.

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 2130782227 is about 46160.3967378964. The cubic root of 2130782227 is about 1286.8058360283.

The spelling of 2130782227 in words is "two billion, one hundred thirty million, seven hundred eighty-two thousand, two hundred twenty-seven".

Divisors: 1 7 17 19 59 119 133 323 413 1003 1121 2261 7021 7847 15973 19057 111811 133399 271541 303487 942407 1900787 2124409 5159279 6596849 16020919 17905733 36114953 112146433 125340131 304397461 2130782227