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112720217 = 17192315173
BaseRepresentation
bin1101011011111…
…11100101011001
321212002210001212
412231333211121
5212324021332
615103552505
72536051241
oct655774531
9255083055
10112720217
115869a405
12318bb735
131a47856c
1410d82b21
159d688b2
hex6b7f959

112720217 has 16 divisors (see below), whose sum is σ = 131103360. Its totient is φ = 96129792.

The previous prime is 112720211. The next prime is 112720229. The reversal of 112720217 is 712027211.

It is a cyclic number.

It is not a de Polignac number, because 112720217 - 28 = 112719961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112720192 and 112720201.

It is not an unprimeable number, because it can be changed into a prime (112720211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158 + ... + 15015.

It is an arithmetic number, because the mean of its divisors is an integer number (8193960).

Almost surely, 2112720217 is an apocalyptic number.

112720217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

112720217 is a deficient number, since it is larger than the sum of its proper divisors (18383143).

112720217 is a wasteful number, since it uses less digits than its factorization.

112720217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15232.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 112720217 is about 10616.9777714753. The cubic root of 112720217 is about 483.0594754063.

Adding to 112720217 its reverse (712027211), we get a palindrome (824747428).

The spelling of 112720217 in words is "one hundred twelve million, seven hundred twenty thousand, two hundred seventeen".

Divisors: 1 17 19 23 323 391 437 7429 15173 257941 288287 348979 4900879 5932643 6630601 112720217