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103241320 = 235713113251
BaseRepresentation
bin1100010011101…
…01011001101000
321012021012110121
412021311121220
5202412210240
614124453024
72362352050
oct611653150
9235235417
10103241320
1153305806
122a6aa174
1318509c50
14d9d6560
1590e504a
hex6275668

103241320 has 128 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 32256000.

The previous prime is 103241311. The next prime is 103241351. The reversal of 103241320 is 23142301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103241294 and 103241303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 411195 + ... + 411445.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2103241320 is an apocalyptic number.

103241320 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 103241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

103241320 is an abundant number, since it is smaller than the sum of its proper divisors (186336920).

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

103241320 is a wasteful number, since it uses less digits than its factorization.

103241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103241320 is about 10160.7735925962. The cubic root of 103241320 is about 469.1206130934.

Adding to 103241320 its reverse (23142301), we get a palindrome (126383621).

The spelling of 103241320 in words is "one hundred three million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 113 130 140 182 226 251 260 280 364 452 455 502 520 565 728 791 904 910 1004 1130 1255 1469 1582 1757 1820 2008 2260 2510 2938 3164 3263 3514 3640 3955 4520 5020 5876 6328 6526 7028 7345 7910 8785 10040 10283 11752 13052 14056 14690 15820 16315 17570 20566 22841 26104 28363 29380 31640 32630 35140 41132 45682 51415 56726 58760 65260 70280 82264 91364 102830 113452 114205 130520 141815 182728 198541 205660 226904 228410 283630 368719 397082 411320 456820 567260 737438 794164 913640 992705 1134520 1474876 1588328 1843595 1985410 2581033 2949752 3687190 3970820 5162066 7374380 7941640 10324132 12905165 14748760 20648264 25810330 51620660 103241320