Search a number
-
+
205532120112 = 24311389265379
BaseRepresentation
bin1011111101101010101…
…0110100010000110000
3201122111212221111121220
42333122222310100300
511331412210320422
6234230430345040
720564164124034
oct2773252642060
9648455844556
10205532120112
117a1905839a0
1233a0035b180
13164c649ab27
149d3aada1c4
15552de8ae5c
hex2fdaab4430

205532120112 has 40 divisors (see below), whose sum is σ = 579226885440. Its totient is φ = 62282460480.

The previous prime is 205532120111. The next prime is 205532120117. The reversal of 205532120112 is 211021235502.

205532120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (205532120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194632162 + ... + 194633217.

It is an arithmetic number, because the mean of its divisors is an integer number (14480672136).

Almost surely, 2205532120112 is an apocalyptic number.

205532120112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205532120112 is an abundant number, since it is smaller than the sum of its proper divisors (373694765328).

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

205532120112 is a wasteful number, since it uses less digits than its factorization.

205532120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389265401 (or 389265395 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 205532120112 its reverse (211021235502), we get a palindrome (416553355614).

The spelling of 205532120112 in words is "two hundred five billion, five hundred thirty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 389265379 778530758 1167796137 1557061516 2335592274 3114123032 4281919169 4671184548 6228246064 8563838338 9342369096 12845757507 17127676676 18684738192 25691515014 34255353352 51383030028 68510706704 102766060056 205532120112