Search a number
-
+
1131443000 = 235359127151
BaseRepresentation
bin100001101110000…
…0111001100111000
32220212000021000022
41003130013030320
54304122134000
6304134430012
740016051432
oct10334071470
92825007008
101131443000
11530740966
12276b02308
1315053c6cc
14aa3a5652
15694e7585
hex43707338

1131443000 has 128 divisors (see below), whose sum is σ = 2731622400. Its totient is φ = 438480000.

The previous prime is 1131442981. The next prime is 1131443021. The reversal of 1131443000 is 3441311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131443000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7492925 + ... + 7493075.

It is an arithmetic number, because the mean of its divisors is an integer number (21340800).

Almost surely, 21131443000 is an apocalyptic number.

1131443000 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 1131443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365811200).

1131443000 is an abundant number, since it is smaller than the sum of its proper divisors (1600179400).

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

1131443000 is a wasteful number, since it uses less digits than its factorization.

1131443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

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

The square root of 1131443000 is about 33636.9291107259. The cubic root of 1131443000 is about 1042.0236117171.

Adding to 1131443000 its reverse (3441311), we get a palindrome (1134884311).

The spelling of 1131443000 in words is "one billion, one hundred thirty-one million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 127 151 200 236 250 254 295 302 472 500 508 590 604 635 755 1000 1016 1180 1208 1270 1475 1510 2360 2540 2950 3020 3175 3775 5080 5900 6040 6350 7375 7493 7550 8909 11800 12700 14750 14986 15100 15875 17818 18875 19177 25400 29500 29972 30200 31750 35636 37465 37750 38354 44545 59000 59944 63500 71272 74930 75500 76708 89090 95885 127000 149860 151000 153416 178180 187325 191770 222725 299720 356360 374650 383540 445450 479425 749300 767080 890900 936625 958850 1113625 1131443 1498600 1781800 1873250 1917700 2227250 2262886 2397125 3746500 3835400 4454500 4525772 4794250 5657215 7493000 8909000 9051544 9588500 11314430 19177000 22628860 28286075 45257720 56572150 113144300 141430375 226288600 282860750 565721500 1131443000