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11200230000 = 243254124447
BaseRepresentation
bin10100110111001010…
…11111001001110000
31001220120012122011100
422123211133021300
5140414224330000
65051215444400
7544360245531
oct123345371160
931816178140
1011200230000
114828268633
122206b26700
13109656253b
14783712688
15458441a00
hex29b95f270

11200230000 has 150 divisors (see below), whose sum is σ = 39169136864. Its totient is φ = 2986704000.

The previous prime is 11200229987. The next prime is 11200230031. The reversal of 11200230000 is 3200211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27777 + ... + 152223.

Almost surely, 211200230000 is an apocalyptic number.

11200230000 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 11200230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584568432).

11200230000 is an abundant number, since it is smaller than the sum of its proper divisors (27968906864).

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

11200230000 is a wasteful number, since it uses less digits than its factorization.

11200230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124481 (or 124457 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 11200230000 its reverse (3200211), we get a palindrome (11203430211).

The spelling of 11200230000 in words is "eleven billion, two hundred million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 124447 248894 373341 497788 622235 746682 995576 1120023 1244470 1493364 1866705 1991152 2240046 2488940 2986728 3111175 3733410 4480092 4977880 5600115 5973456 6222350 7466820 8960184 9333525 9955760 11200230 12444700 14933640 15555875 17920368 18667050 22400460 24889400 28000575 29867280 31111750 37334100 44800920 46667625 49778800 56001150 62223500 74668200 77779375 89601840 93335250 112002300 124447000 140002875 149336400 155558750 186670500 224004600 233338125 248894000 280005750 311117500 373341000 448009200 466676250 560011500 622235000 700014375 746682000 933352500 1120023000 1244470000 1400028750 1866705000 2240046000 2800057500 3733410000 5600115000 11200230000