Search a number
-
+
112033023300000 = 2532551129390223
BaseRepresentation
bin11001011110010010111000…
…100011101001000110100000
3112200200020211000120002101100
4121132102320203221012200
5104141022112431100000
61034135132124434400
732412055520451315
oct3136227043510640
9480606730502340
10112033023300000
1132773a35a5a050
12106949009a8a00
134a6889037c61a
141d945da588d0c
15ce4381961a00
hex65e4b88e91a0

112033023300000 has 864 divisors, whose sum is σ = 449399534088960. Its totient is φ = 26222918400000.

The previous prime is 112033023299993. The next prime is 112033023300007. The reversal of 112033023300000 is 3320330211.

112033023300000 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 330 + 2 + 330 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112033023299993) and next prime (112033023300007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112033023300007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286904889 + ... + 287295111.

It is an arithmetic number, because the mean of its divisors is an integer number (520138349640).

Almost surely, 2112033023300000 is an apocalyptic number.

112033023300000 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 112033023300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224699767044480).

112033023300000 is an abundant number, since it is smaller than the sum of its proper divisors (337366510788960).

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

112033023300000 is a wasteful number, since it uses less digits than its factorization.

112033023300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390304 (or 390273 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 112033023300000 its reverse (3320330211), we get a palindrome (112036343630211).

The spelling of 112033023300000 in words is "one hundred twelve trillion, thirty-three billion, twenty-three million, three hundred thousand".