Search a number
-
+
1200211000 = 235319181349
BaseRepresentation
bin100011110001001…
…1100010000111000
310002122102000222021
41013202130100320
54424223223000
6315032404224
741512424302
oct10742342070
93078360867
101200211000
1156654031a
12295b46674
13161869531
14b5586972
157057d11a
hex4789c438

1200211000 has 128 divisors (see below), whose sum is σ = 2981160000. Its totient is φ = 451008000.

The previous prime is 1200210983. The next prime is 1200211003. The reversal of 1200211000 is 1120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200211003) 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, 3438826 + ... + 3439174.

Almost surely, 21200211000 is an apocalyptic number.

1200211000 is a gapful number since it is divisible by the number (10) 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 1200211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490580000).

1200211000 is an abundant number, since it is smaller than the sum of its proper divisors (1780949000).

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

1200211000 is a wasteful number, since it uses less digits than its factorization.

1200211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1200211000 is about 34644.0615401832. The cubic root of 1200211000 is about 1062.7208491319.

Adding to 1200211000 its reverse (1120021), we get a palindrome (1201331021).

The spelling of 1200211000 in words is "one billion, two hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 181 190 200 250 349 362 380 475 500 698 724 760 905 950 1000 1396 1448 1745 1810 1900 2375 2792 3439 3490 3620 3800 4525 4750 6631 6878 6980 7240 8725 9050 9500 13262 13756 13960 17195 17450 18100 19000 22625 26524 27512 33155 34390 34900 36200 43625 45250 53048 63169 66310 68780 69800 85975 87250 90500 126338 132620 137560 165775 171950 174500 181000 252676 265240 315845 331550 343900 349000 429875 505352 631690 663100 687800 828875 859750 1200211 1263380 1326200 1579225 1657750 1719500 2400422 2526760 3158450 3315500 3439000 4800844 6001055 6316900 6631000 7896125 9601688 12002110 12633800 15792250 24004220 30005275 31584500 48008440 60010550 63169000 120021100 150026375 240042200 300052750 600105500 1200211000