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200311120 = 2452986341
BaseRepresentation
bin10111111000010…
…00000101010000
3111221220212012101
423330020011100
5402234423440
631513210144
74651421302
oct1374100520
9457825171
10200311120
11a3085789
1257100954
1332665ab9
141c863972
15128bb69a
hexbf08150

200311120 has 40 divisors (see below), whose sum is σ = 481788360. Its totient is φ = 77360640.

The previous prime is 200311099. The next prime is 200311127. The reversal of 200311120 is 21113002.

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 191877904 = 2904^2 + 13852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200311097 and 200311106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200311127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40851 + ... + 45490.

It is an arithmetic number, because the mean of its divisors is an integer number (12044709).

Almost surely, 2200311120 is an apocalyptic number.

200311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200311120 is an abundant number, since it is smaller than the sum of its proper divisors (281477240).

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

200311120 is a wasteful number, since it uses less digits than its factorization.

200311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86383 (or 86377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 200311120 is about 14153.1311023392. The cubic root of 200311120 is about 585.1066306711.

Adding to 200311120 its reverse (21113002), we get a palindrome (221424122).

The spelling of 200311120 in words is "two hundred million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 86341 172682 345364 431705 690728 863410 1381456 1726820 2503889 3453640 5007778 6907280 10015556 12519445 20031112 25038890 40062224 50077780 100155560 200311120