Search a number
-
+
111213404200 = 23522385728211
BaseRepresentation
bin110011110010011010…
…1011110000000101000
3101122001122122022000101
41213210311132000220
53310231112413300
6123031333115144
711014654224013
oct1474465360050
9348048568011
10111213404200
11431900816a8
1219679188ab4
13a644a05562
14555040237a
152d5d8ceb6a
hex19e4d5e028

111213404200 has 96 divisors (see below), whose sum is σ = 270137799360. Its totient is φ = 42500057600.

The previous prime is 111213404171. The next prime is 111213404209. The reversal of 111213404200 is 2404312111.

111213404200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (111213404209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3928095 + ... + 3956305.

It is an arithmetic number, because the mean of its divisors is an integer number (2813935410).

Almost surely, 2111213404200 is an apocalyptic number.

111213404200 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 111213404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135068899680).

111213404200 is an abundant number, since it is smaller than the sum of its proper divisors (158924395160).

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

111213404200 is a wasteful number, since it uses less digits than its factorization.

111213404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29107 (or 29098 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 111213404200 its reverse (2404312111), we get a palindrome (113617716311).

The spelling of 111213404200 in words is "one hundred eleven billion, two hundred thirteen million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 857 920 1150 1714 2300 3428 4285 4600 6856 8570 17140 19711 21425 28211 34280 39422 42850 56422 78844 85700 98555 112844 141055 157688 171400 197110 225688 282110 394220 492775 564220 648853 705275 788440 985550 1128440 1297706 1410550 1971100 2595412 2821100 3244265 3942200 5190824 5642200 6488530 12977060 16221325 24176827 25954120 32442650 48353654 64885300 96707308 120884135 129770600 193414616 241768270 483536540 556067021 604420675 967073080 1112134042 1208841350 2224268084 2417682700 2780335105 4448536168 4835365400 5560670210 11121340420 13901675525 22242680840 27803351050 55606702100 111213404200