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103441000 = 23531373109
BaseRepresentation
bin1100010101001…
…10001001101000
321012122100101011
412022212021220
5202440103000
614133033304
72364143155
oct612461150
9235570334
10103441000
1153431833
122a785834
1318579ac0
14da4922c
1591342ba
hex62a6268

103441000 has 128 divisors (see below), whose sum is σ = 266666400. Its totient is φ = 37324800.

The previous prime is 103440979. The next prime is 103441007. The reversal of 103441000 is 144301.

It can be written as a sum of positive squares in 16 ways, for example, as 7518564 + 95922436 = 2742^2 + 9794^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (103441007) 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 31 ways as a sum of consecutive naturals, for example, 948946 + ... + 949054.

Almost surely, 2103441000 is an apocalyptic number.

103441000 is a gapful number since it is divisible by the number (10) 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 103441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133333200).

103441000 is an abundant number, since it is smaller than the sum of its proper divisors (163225400).

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

103441000 is a wasteful number, since it uses less digits than its factorization.

103441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 103441000 is about 10170.5948695246. The cubic root of 103441000 is about 469.4228618342.

Adding to 103441000 its reverse (144301), we get a palindrome (103585301).

The spelling of 103441000 in words is "one hundred three million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 73 100 104 109 125 130 146 200 218 250 260 292 325 365 436 500 520 545 584 650 730 872 949 1000 1090 1300 1417 1460 1625 1825 1898 2180 2600 2725 2834 2920 3250 3650 3796 4360 4745 5450 5668 6500 7085 7300 7592 7957 9125 9490 10900 11336 13000 13625 14170 14600 15914 18250 18980 21800 23725 27250 28340 31828 35425 36500 37960 39785 47450 54500 56680 63656 70850 73000 79570 94900 103441 109000 118625 141700 159140 177125 189800 198925 206882 237250 283400 318280 354250 397850 413764 474500 517205 708500 795700 827528 949000 994625 1034410 1417000 1591400 1989250 2068820 2586025 3978500 4137640 5172050 7957000 10344100 12930125 20688200 25860250 51720500 103441000