Search a number
-
+
211000011200 = 26521111988637
BaseRepresentation
bin1100010010000010010…
…1001010100111000000
3202011121221202011002122
43010200211022213000
511424112000324300
6240533154303412
721146530334336
oct3044045124700
9664557664078
10211000011200
1181537007450
1234a87587b68
1316b8824b944
14a2d8d95b56
15574e016c85
hex312094a9c0

211000011200 has 84 divisors (see below), whose sum is σ = 566391213672. Its totient is φ = 76727270400.

The previous prime is 211000011191. The next prime is 211000011203. The reversal of 211000011200 is 2110000112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000011203) 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 11 ways as a sum of consecutive naturals, for example, 5976719 + ... + 6011918.

Almost surely, 2211000011200 is an apocalyptic number.

211000011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000011200 is an abundant number, since it is smaller than the sum of its proper divisors (355391202472).

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

211000011200 is a wasteful number, since it uses less digits than its factorization.

211000011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988670 (or 11988655 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211000011200 its reverse (2110000112), we get a palindrome (213110011312).

211000011200 divided by its reverse (2110000112) gives a square (100 = 102).

The spelling of 211000011200 in words is "two hundred eleven billion, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 11988637 23977274 47954548 59943185 95909096 119886370 131875007 191818192 239772740 263750014 299715925 383636384 479545480 527500028 599431850 659375035 767272768 959090960 1055000056 1198863700 1318750070 1918181920 2110000112 2397727400 2637500140 3296875175 3836363840 4220000224 4795454800 5275000280 6593750350 8440000448 9590909600 10550000560 13187500700 19181819200 21100001120 26375001400 42200002240 52750002800 105500005600 211000011200