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11031000200 = 2352117170621
BaseRepresentation
bin10100100010111111…
…11011010010001000
31001110202202212111222
422101133323102020
5140042414001300
65022332341212
7540233645303
oct122137732210
931422685458
1011031000200
1147507917a0
12217a314808
13106a48c96c
1476905db3a
15448664785
hex2917fb488

11031000200 has 96 divisors (see below), whose sum is σ = 28373094720. Its totient is φ = 3954720000.

The previous prime is 11031000199. The next prime is 11031000257. The reversal of 11031000200 is 200013011.

11031000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×110310002003 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120890 + ... + 191510.

It is an arithmetic number, because the mean of its divisors is an integer number (295553070).

Almost surely, 211031000200 is an apocalyptic number.

11031000200 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 11031000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186547360).

11031000200 is an abundant number, since it is smaller than the sum of its proper divisors (17342094520).

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

11031000200 is a wasteful number, since it uses less digits than its factorization.

11031000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70719 (or 70710 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11031000200 its reverse (200013011), we get a palindrome (11231013211).

The spelling of 11031000200 in words is "eleven billion, thirty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 142 200 220 275 284 355 440 550 568 710 781 1100 1420 1562 1775 2200 2840 3124 3550 3905 6248 7100 7810 14200 15620 19525 31240 39050 70621 78100 141242 156200 282484 353105 564968 706210 776831 1412420 1553662 1765525 2824840 3107324 3531050 3884155 5014091 6214648 7062100 7768310 10028182 14124200 15536620 19420775 20056364 25070455 31073240 38841550 40112728 50140910 55155001 77683100 100281820 110310002 125352275 155366200 200563640 220620004 250704550 275775005 441240008 501409100 551550010 1002818200 1103100020 1378875025 2206200040 2757750050 5515500100 11031000200