Search a number
-
+
112302212022 = 2347211131941127
BaseRepresentation
bin110100010010110111…
…0111100001110110110
3101201212112102110120000
41220211232330032312
53314443331241042
6123331350052130
711053645023600
oct1504556741666
9351775373500
10112302212022
1143699742080
121992194a046
13a789467b40
145614c6a170
152dc42a474c
hex1a25bbc3b6

112302212022 has 960 divisors, whose sum is σ = 373748981760. Its totient is φ = 24690355200.

The previous prime is 112302212021. The next prime is 112302212051. The reversal of 112302212022 is 220212203211.

112302212022 is a `hidden beast` number, since 11 + 230 + 221 + 202 + 2 = 666.

It is a super-2 number, since 2×1123022120222 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112302211986 and 112302212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112302212021) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 884269323 + ... + 884269449.

It is an arithmetic number, because the mean of its divisors is an integer number (389321856).

Almost surely, 2112302212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112302212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186874490880).

112302212022 is an abundant number, since it is smaller than the sum of its proper divisors (261446769738).

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

112302212022 is a wasteful number, since it uses less digits than its factorization.

112302212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112302212022 its reverse (220212203211), we get a palindrome (332514415233).

The spelling of 112302212022 in words is "one hundred twelve billion, three hundred two million, two hundred twelve thousand, twenty-two".