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112103212032 = 210347533643
BaseRepresentation
bin110100001100111011…
…1110100010000000000
3101201100122222012220000
41220121313310100000
53314041410241112
6123255520520000
711046010402650
oct1503167642000
9351318865800
10112103212032
11435a7382479
1219887180000
13a757170a76
1455d6668360
152db1a967dc
hex1a19df4400

112103212032 has 440 divisors, whose sum is σ = 389910856896. Its totient is φ = 31416532992.

The previous prime is 112103212027. The next prime is 112103212037. The reversal of 112103212032 is 230212301211.

It is an interprime number because it is at equal distance from previous prime (112103212027) and next prime (112103212037).

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 = 112103211996 and 112103212014.

It is not an unprimeable number, because it can be changed into a prime (112103212037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30770403 + ... + 30774045.

Almost surely, 2112103212032 is an apocalyptic number.

112103212032 is a gapful number since it is divisible by the number (12) 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 112103212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194955428448).

112103212032 is an abundant number, since it is smaller than the sum of its proper divisors (277807644864).

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

112103212032 is an equidigital number, since it uses as much as digits as its factorization.

112103212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112103212032 its reverse (230212301211), we get a palindrome (342315513243).

The spelling of 112103212032 in words is "one hundred twelve billion, one hundred three million, two hundred twelve thousand, thirty-two".