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11143223000 = 2353713122453
BaseRepresentation
bin10100110000011000…
…00001011011011000
31001202120221101020222
422120030001123120
5140310131114000
65041421535212
7543065555420
oct123014013330
931676841228
1011143223000
1147a9071408
1221aba14508
1310877c29a0
14779d13480
15453430a85
hex2983016d8

11143223000 has 128 divisors (see below), whose sum is σ = 32092744320. Its totient is φ = 3526617600.

The previous prime is 11143222969. The next prime is 11143223071. The reversal of 11143223000 is 32234111.

It is a self number, because there is not a number n which added to its sum of digits gives 11143223000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29774 + ... + 152226.

It is an arithmetic number, because the mean of its divisors is an integer number (250724565).

Almost surely, 211143223000 is an apocalyptic number.

11143223000 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 11143223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046372160).

11143223000 is an abundant number, since it is smaller than the sum of its proper divisors (20949521320).

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

11143223000 is a wasteful number, since it uses less digits than its factorization.

11143223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122494 (or 122480 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11143223000 its reverse (32234111), we get a palindrome (11175457111).

The spelling of 11143223000 in words is "eleven billion, one hundred forty-three million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 122453 244906 489812 612265 857171 979624 1224530 1591889 1714342 2449060 3061325 3183778 3428684 4285855 4898120 6122650 6367556 6857368 7959445 8571710 11143223 12245300 12735112 15306625 15918890 17143420 21429275 22286446 24490600 30613250 31837780 34286840 39797225 42858550 44572892 55716115 61226500 63675560 79594450 85717100 89145784 107146375 111432230 122453000 159188900 171434200 198986125 214292750 222864460 278580575 318377800 397972250 428585500 445728920 557161150 795944500 857171000 1114322300 1392902875 1591889000 2228644600 2785805750 5571611500 11143223000