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107119818 = 232133114767
BaseRepresentation
bin1100110001010…
…00010011001010
321110120020202200
412120220103022
5204410313233
614343541030
72440334451
oct630502312
9243506680
10107119818
1155514783
122ba5a776
1319267410
1410325b98
15960e313
hex66284ca

107119818 has 48 divisors (see below), whose sum is σ = 258026496. Its totient is φ = 31894560.

The previous prime is 107119799. The next prime is 107119829. The reversal of 107119818 is 818911701.

It is a happy number.

It is a super-2 number, since 2×1071198182 = 22949310816706248, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130 + ... + 14637.

It is an arithmetic number, because the mean of its divisors is an integer number (5375552).

Almost surely, 2107119818 is an apocalyptic number.

107119818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107119818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129013248).

107119818 is an abundant number, since it is smaller than the sum of its proper divisors (150906678).

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

107119818 is a wasteful number, since it uses less digits than its factorization.

107119818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14819 (or 14816 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The square root of 107119818 is about 10349.8704339716. The cubic root of 107119818 is about 474.9230796958.

The spelling of 107119818 in words is "one hundred seven million, one hundred nineteen thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 14767 29534 44301 88602 132903 191971 265806 383942 457777 575913 915554 1151826 1373331 1727739 2746662 3455478 4119993 5951101 8239986 11902202 17853303 35706606 53559909 107119818