Search a number
-
+
1131443205200 = 245271136735169
BaseRepresentation
bin10000011101101111010…
…001010011010001010000
311000011110020000002110022
4100131233101103101100
5122014143430031300
62223440002323012
7144513134363510
oct20355721232120
94004406002408
101131443205200
113a692a2134a0
12163346059468
1382905168539
143ca9546d840
151e671156285
hex1076f453450

1131443205200 has 120 divisors (see below), whose sum is σ = 3389039843520. Its totient is φ = 352657612800.

The previous prime is 1131443205187. The next prime is 1131443205229. The reversal of 1131443205200 is 25023441311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1131443205200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18336785 + ... + 18398384.

It is an arithmetic number, because the mean of its divisors is an integer number (28241998696).

Almost surely, 21131443205200 is an apocalyptic number.

1131443205200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131443205200 is an abundant number, since it is smaller than the sum of its proper divisors (2257596638320).

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

1131443205200 is a wasteful number, since it uses less digits than its factorization.

1131443205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36735205 (or 36735194 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1131443205200 its reverse (25023441311), we get a palindrome (1156466646511).

The spelling of 1131443205200 in words is "one trillion, one hundred thirty-one billion, four hundred forty-three million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 36735169 73470338 146940676 183675845 257146183 293881352 367351690 404086859 514292366 587762704 734703380 808173718 918379225 1028584732 1285730915 1469406760 1616347436 1836758450 2020434295 2057169464 2571461830 2828608013 2938813520 3232694872 3673516900 4040868590 4114338928 5142923660 5657216026 6428654575 6465389744 7347033800 8081737180 10102171475 10285847320 11314432052 12857309150 14143040065 14694067600 16163474360 20204342950 20571694640 22628864104 25714618300 28286080130 32326948720 40408685900 45257728208 51429236600 56572160260 70715200325 80817371800 102858473200 113144320520 141430400650 161634743600 226288641040 282860801300 565721602600 1131443205200