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2177000130 = 235294358193
BaseRepresentation
bin1000000111000010…
…0110001011000010
312121201102001202110
42001300212023002
513424303001010
61000004400150
7104643124104
oct20160461302
95551361673
102177000130
11a17950468
125090a6056
1328903a976
141691b1574
15cb1c7120
hex81c262c2

2177000130 has 64 divisors (see below), whose sum is σ = 5530757760. Its totient is φ = 547470336.

The previous prime is 2177000099. The next prime is 2177000167. The reversal of 2177000130 is 310007712.

It is a junction number, because it is equal to n+sod(n) for n = 2177000097 and 2177000106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8314 + ... + 66506.

It is an arithmetic number, because the mean of its divisors is an integer number (86418090).

Almost surely, 22177000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2177000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765378880).

2177000130 is an abundant number, since it is smaller than the sum of its proper divisors (3353757630).

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

2177000130 is a wasteful number, since it uses less digits than its factorization.

2177000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58275.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 2177000130 is about 46658.3339822587. Note that the first 3 decimals coincide. The cubic root of 2177000130 is about 1296.0432215333.

Adding to 2177000130 its reverse (310007712), we get a palindrome (2487007842).

The spelling of 2177000130 in words is "two billion, one hundred seventy-seven million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 29 30 43 58 86 87 129 145 174 215 258 290 430 435 645 870 1247 1290 2494 3741 6235 7482 12470 18705 37410 58193 116386 174579 290965 349158 581930 872895 1687597 1745790 2502299 3375194 5004598 5062791 7506897 8437985 10125582 12511495 15013794 16875970 25022990 25313955 37534485 50627910 72566671 75068970 145133342 217700013 362833355 435400026 725666710 1088500065 2177000130