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11027200000 = 211551723
BaseRepresentation
bin10100100010100010…
…11011100000000000
31001110111121210121211
422101101123200000
5140040430400000
65022115055504
7540156440065
oct122121334000
931414553554
1011027200000
114749626633
122178ba1594
13106975c01b
14768750c6c
154481637ba
hex29145b800

11027200000 has 144 divisors (see below), whose sum is σ = 27575500680. Its totient is φ = 4408320000.

The previous prime is 11027199983. The next prime is 11027200003. The reversal of 11027200000 is 272011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11027200003) 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 11 ways as a sum of consecutive naturals, for example, 6399139 + ... + 6400861.

Almost surely, 211027200000 is an apocalyptic number.

11027200000 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 11027200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787750340).

11027200000 is an abundant number, since it is smaller than the sum of its proper divisors (16548300680).

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

11027200000 is an frugal number, since it uses more digits than its factorization.

11027200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

Adding to 11027200000 its reverse (272011), we get a palindrome (11027472011).

The spelling of 11027200000 in words is "eleven billion, twenty-seven million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 1723 2000 2048 2500 2560 3125 3200 3446 4000 5000 5120 6250 6400 6892 8000 8615 10000 10240 12500 12800 13784 16000 17230 20000 25000 25600 27568 32000 34460 40000 43075 50000 51200 55136 64000 68920 80000 86150 100000 110272 128000 137840 160000 172300 200000 215375 220544 256000 275680 320000 344600 400000 430750 441088 551360 640000 689200 800000 861500 882176 1076875 1102720 1280000 1378400 1600000 1723000 1764352 2153750 2205440 2756800 3200000 3446000 3528704 4307500 4410880 5384375 5513600 6400000 6892000 8615000 8821760 10768750 11027200 13784000 17230000 17643520 21537500 22054400 27568000 34460000 43075000 44108800 55136000 68920000 86150000 88217600 110272000 137840000 172300000 220544000 275680000 344600000 441088000 551360000 689200000 1102720000 1378400000 2205440000 2756800000 5513600000 11027200000