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117122112 = 263517443
BaseRepresentation
bin1101111101100…
…10010001000000
322011101102100000
412332302101000
5214440401422
615342200000
72621343612
oct676622100
9264342300
10117122112
1160126638
1233283000
131b35a033
14117aadb2
15a437cac
hex6fb2440

117122112 has 168 divisors, whose sum is σ = 369454176. Its totient is φ = 36661248.

The previous prime is 117122051. The next prime is 117122147. The reversal of 117122112 is 211221711.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264163 + ... + 264605.

It is an arithmetic number, because the mean of its divisors is an integer number (2199132).

Almost surely, 2117122112 is an apocalyptic number.

117122112 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 117122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184727088).

117122112 is an abundant number, since it is smaller than the sum of its proper divisors (252332064).

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

117122112 is an equidigital number, since it uses as much as digits as its factorization.

117122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 117122112 is about 10822.2969835428. The cubic root of 117122112 is about 489.2674211936.

Adding to 117122112 its reverse (211221711), we get a palindrome (328343823).

It can be divided in two parts, 11712 and 2112, that added together give a cube (13824 = 243).

The spelling of 117122112 in words is "one hundred seventeen million, one hundred twenty-two thousand, one hundred twelve".