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103001112 = 23332811697
BaseRepresentation
bin1100010001110…
…10110000011000
321011210222222000
412020322300120
5202332013422
614115401000
72360331534
oct610726030
9234728860
10103001112
1153161295
122a5b3160
1318454806
14d972bc4
159098cac
hex623ac18

103001112 has 64 divisors (see below), whose sum is σ = 287301600. Its totient is φ = 34191360.

The previous prime is 103001083. The next prime is 103001117. The reversal of 103001112 is 211100301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 103001094 and 103001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59848 + ... + 61544.

Almost surely, 2103001112 is an apocalyptic number.

103001112 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 103001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143650800).

103001112 is an abundant number, since it is smaller than the sum of its proper divisors (184300488).

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

103001112 is a wasteful number, since it uses less digits than its factorization.

103001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 103001112 is about 10148.9463492522. The cubic root of 103001112 is about 468.7565016698.

Adding to 103001112 its reverse (211100301), we get a palindrome (314101413).

The spelling of 103001112 in words is "one hundred three million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 281 562 843 1124 1686 1697 2248 2529 3372 3394 5058 5091 6744 6788 7587 10116 10182 13576 15174 15273 20232 20364 30348 30546 40728 45819 60696 61092 91638 122184 183276 366552 476857 953714 1430571 1907428 2861142 3814856 4291713 5722284 8583426 11444568 12875139 17166852 25750278 34333704 51500556 103001112