Search a number
-
+
112341002320 = 2457319236473
BaseRepresentation
bin110100010100000001…
…0111010100001010000
3101201222020102012211201
41220220002322201100
53320033244033240
6123335253320544
711054625523051
oct1505002724120
9351866365751
10112341002320
1143709626878
1219932936154
13a7944c9b91
14561a086728
152dc78b7d9a
hex1a280ba850

112341002320 has 40 divisors (see below), whose sum is σ = 264770828136. Its totient is φ = 44320831488.

The previous prime is 112341002303. The next prime is 112341002321. The reversal of 112341002320 is 23200143211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40718396944 + 71622605376 = 201788^2 + 267624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112341002321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9612397 + ... + 9624076.

Almost surely, 2112341002320 is an apocalyptic number.

112341002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112341002320 is an abundant number, since it is smaller than the sum of its proper divisors (152429825816).

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

112341002320 is a wasteful number, since it uses less digits than its factorization.

112341002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19236559 (or 19236553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 112341002320 its reverse (23200143211), we get a palindrome (135541145531).

The spelling of 112341002320 in words is "one hundred twelve billion, three hundred forty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 19236473 38472946 76945892 96182365 153891784 192364730 307783568 384729460 769458920 1404262529 1538917840 2808525058 5617050116 7021312645 11234100232 14042625290 22468200464 28085250580 56170501160 112341002320