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103040112 = 2437449683
BaseRepresentation
bin1100010010001…
…00010001110000
321011212222110110
412021010101300
5202334240422
614120301320
72360553330
oct611042160
9234788413
10103040112
115318861a
122a611840
13184694a6
14d9830c0
1590a560c
hex6244470

103040112 has 80 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 29331456.

The previous prime is 103040087. The next prime is 103040149. The reversal of 103040112 is 211040301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150523 + ... + 151205.

It is an arithmetic number, because the mean of its divisors is an integer number (3816720).

Almost surely, 2103040112 is an apocalyptic number.

103040112 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 103040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

103040112 is an abundant number, since it is smaller than the sum of its proper divisors (202297488).

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

103040112 is a wasteful number, since it uses less digits than its factorization.

103040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103040112 is about 10150.8675491310. The cubic root of 103040112 is about 468.8156570076.

Adding to 103040112 its reverse (211040301), we get a palindrome (314080413).

The spelling of 103040112 in words is "one hundred three million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 449 683 898 1347 1366 1796 2049 2694 2732 3143 3592 4098 4781 5388 5464 6286 7184 8196 9429 9562 10776 10928 12572 14343 16392 18858 19124 21552 25144 28686 32784 37716 38248 50288 57372 75432 76496 114744 150864 229488 306667 613334 920001 1226668 1840002 2146669 2453336 3680004 4293338 4906672 6440007 7360008 8586676 12880014 14720016 17173352 25760028 34346704 51520056 103040112