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103112136 = 2333539007
BaseRepresentation
bin1100010010101…
…01110111001000
321012000122021000
412021111313020
5202344042021
614122015000
72361303321
oct611256710
9235018230
10103112136
1153227746
122a647460
13184931ca
14d9a1448
1590bbb26
hex6255dc8

103112136 has 64 divisors (see below), whose sum is σ = 291859200. Its totient is φ = 33718464.

The previous prime is 103112111. The next prime is 103112137. The reversal of 103112136 is 631211301.

It is a super-2 number, since 2×1031121362 = 21264225180964992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103112137) 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 15 ways as a sum of consecutive naturals, for example, 6945 + ... + 15951.

It is an arithmetic number, because the mean of its divisors is an integer number (4560300).

Almost surely, 2103112136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103112136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145929600).

103112136 is an abundant number, since it is smaller than the sum of its proper divisors (188747064).

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

103112136 is a wasteful number, since it uses less digits than its factorization.

103112136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9075 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103112136 is about 10154.4146064655. The cubic root of 103112136 is about 468.9248640400.

Adding to 103112136 its reverse (631211301), we get a palindrome (734323437).

The spelling of 103112136 in words is "one hundred three million, one hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 9007 11448 18014 27021 36028 54042 72056 81063 108084 162126 216168 243189 324252 477371 486378 648504 954742 972756 1432113 1909484 1945512 2864226 3818968 4296339 5728452 8592678 11456904 12889017 17185356 25778034 34370712 51556068 103112136