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110131434 = 2337476199
BaseRepresentation
bin1101001000001…
…11100011101010
321200020020221000
412210013203222
5211143201214
614532255430
72505046620
oct644074352
9250206830
10110131434
1157191416
1230a71576
1319a8013a
14108ab510
159a06809
hex69078ea

110131434 has 64 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 30791664.

The previous prime is 110131433. The next prime is 110131459. The reversal of 110131434 is 434131011.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110131433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14667 + ... + 20865.

It is an arithmetic number, because the mean of its divisors is an integer number (4464000).

Almost surely, 2110131434 is an apocalyptic number.

110131434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110131434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

110131434 is an abundant number, since it is smaller than the sum of its proper divisors (175564566).

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

110131434 is a wasteful number, since it uses less digits than its factorization.

110131434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264 (or 6258 counting only the distinct ones).

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

The square root of 110131434 is about 10494.3524812158. The cubic root of 110131434 is about 479.3327447432.

Adding to 110131434 its reverse (434131011), we get a palindrome (544262445).

The spelling of 110131434 in words is "one hundred ten million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1974 2538 2961 5922 6199 8883 12398 17766 18597 37194 43393 55791 86786 111582 130179 167373 260358 291353 334746 390537 582706 781074 874059 1171611 1748118 2039471 2343222 2622177 4078942 5244354 6118413 7866531 12236826 15733062 18355239 36710478 55065717 110131434