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11410000200 = 233452704321
BaseRepresentation
bin10101010000001011…
…01100100101001000
31002110011221001210000
422220011230211020
5141331430001300
65124111523000
7552515254464
oct125005544510
932404831700
1011410000200
114925714035
122265229460
1310cab5a911
147a35194a4
1546ba7ac00
hex2a816c948

11410000200 has 120 divisors (see below), whose sum is σ = 39628677330. Its totient is φ = 3042662400.

The previous prime is 11410000187. The next prime is 11410000247. The reversal of 11410000200 is 200001411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11099465316 + 310534884 = 105354^2 + 17622^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 335961 + ... + 368360.

Almost surely, 211410000200 is an apocalyptic number.

11410000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11410000200 is an abundant number, since it is smaller than the sum of its proper divisors (28218677130).

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

11410000200 is a wasteful number, since it uses less digits than its factorization.

11410000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704349 (or 704331 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11410000200 its reverse (200001411), we get a palindrome (11610001611).

The spelling of 11410000200 in words is "eleven billion, four hundred ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 704321 1408642 2112963 2817284 3521605 4225926 5634568 6338889 7043210 8451852 10564815 12677778 14086420 16903704 17608025 19016667 21129630 25355556 28172840 31694445 35216050 38033334 42259260 50711112 52824075 57050001 63388890 70432100 76066668 84518520 95083335 105648150 114100002 126777780 140864200 152133336 158472225 190166670 211296300 228200004 253555560 285250005 316944450 380333340 422592600 456400008 475416675 570500010 633888900 760666680 950833350 1141000020 1267777800 1426250025 1901666700 2282000040 2852500050 3803333400 5705000100 11410000200