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112211303232 = 26371738312823
BaseRepresentation
bin110100010000001010…
…0001001101101000000
3101201122012100211010210
41220200110021231000
53314302043200412
6123314341354120
711051462224440
oct1504024115500
9351565324123
10112211303232
114365239aa46
12198b7408940
13a773688362
145606b64120
152dbb2e883c
hex1a20509b40

112211303232 has 224 divisors, whose sum is σ = 360230879232. Its totient is φ = 30093336576.

The previous prime is 112211303219. The next prime is 112211303297. The reversal of 112211303232 is 232303112211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 112211303199 and 112211303208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8744373 + ... + 8757195.

It is an arithmetic number, because the mean of its divisors is an integer number (1608173568).

Almost surely, 2112211303232 is an apocalyptic number.

112211303232 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 112211303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180115439616).

112211303232 is an abundant number, since it is smaller than the sum of its proper divisors (248019576000).

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

112211303232 is a wasteful number, since it uses less digits than its factorization.

112211303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13245 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112211303232 its reverse (232303112211), we get a palindrome (344514415443).

The spelling of 112211303232 in words is "one hundred twelve billion, two hundred eleven million, three hundred three thousand, two hundred thirty-two".