Search a number
-
+
112232320100 = 22526118398741
BaseRepresentation
bin110100010000110010…
…0010100110001100100
3101201200122220120212022
41220201210110301210
53314322433220400
6123320412042312
711052135660215
oct1504144246144
9351618816768
10112232320100
114366324525a
1219902463398
13a777b36584
14560987540c
152dbd09ab85
hex1a21914c64

112232320100 has 36 divisors (see below), whose sum is σ = 247536674868. Its totient is φ = 44156976000.

The previous prime is 112232320097. The next prime is 112232320103. The reversal of 112232320100 is 1023232211.

It is an interprime number because it is at equal distance from previous prime (112232320097) and next prime (112232320103).

It can be written as a sum of positive squares in 6 ways, for example, as 11947364416 + 100284955684 = 109304^2 + 316678^2 .

It is not an unprimeable number, because it can be changed into a prime (112232320103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9193271 + ... + 9205470.

Almost surely, 2112232320100 is an apocalyptic number.

112232320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112232320100 is an abundant number, since it is smaller than the sum of its proper divisors (135304354768).

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

112232320100 is a wasteful number, since it uses less digits than its factorization.

112232320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18398816 (or 18398809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 112232320100 its reverse (1023232211), we get a palindrome (113255552311).

The spelling of 112232320100 in words is "one hundred twelve billion, two hundred thirty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 18398741 36797482 73594964 91993705 183987410 367974820 459968525 919937050 1122323201 1839874100 2244646402 4489292804 5611616005 11223232010 22446464020 28058080025 56116160050 112232320100