Search a number
-
+
3212000010 = 2325109327421
BaseRepresentation
bin1011111101110011…
…0011101100001010
322021211221111200100
42333130303230022
523034233000020
61250420150230
7142411356342
oct27734635412
98254844610
103212000010
1113a90aa16a
12757838376
133c25b082b
1422682dd22
1513bebda90
hexbf733b0a

3212000010 has 48 divisors (see below), whose sum is σ = 8427842280. Its totient is φ = 848672640.

The previous prime is 3211999997. The next prime is 3212000047. The reversal of 3212000010 is 100002123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1778393241 + 1433606769 = 42171^2 + 37863^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3211999956 and 3212000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153901 + ... + 173520.

Almost surely, 23212000010 is an apocalyptic number.

3212000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3212000010 is an abundant number, since it is smaller than the sum of its proper divisors (5215842270).

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

3212000010 is a wasteful number, since it uses less digits than its factorization.

3212000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327543 (or 327540 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3212000010 is about 56674.5093494421. The cubic root of 3212000010 is about 1475.4523190019.

Adding to 3212000010 its reverse (100002123), we get a palindrome (3312002133).

The spelling of 3212000010 in words is "three billion, two hundred twelve million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 327421 654842 982263 1637105 1964526 2946789 3274210 4911315 5893578 9822630 14733945 29467890 35688889 71377778 107066667 178444445 214133334 321200001 356888890 535333335 642400002 1070666670 1606000005 3212000010