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10103241000 = 2335331108637
BaseRepresentation
bin10010110100011001…
…10011100100101000
3222002010000211011010
421122030303210220
5131142412203000
64350311303520
7505240063056
oct113214634450
928063024133
1010103241000
11431501a556
121b5b67aba0
13c501c7218
146bbb591d6
153e1ea2d50
hex25a333928

10103241000 has 128 divisors (see below), whose sum is σ = 32539253760. Its totient is φ = 2607264000.

The previous prime is 10103240977. The next prime is 10103241019. The reversal of 10103241000 is 14230101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38682 + ... + 147318.

It is an arithmetic number, because the mean of its divisors is an integer number (254212920).

Almost surely, 210103241000 is an apocalyptic number.

10103241000 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 10103241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269626880).

10103241000 is an abundant number, since it is smaller than the sum of its proper divisors (22436012760).

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

10103241000 is a wasteful number, since it uses less digits than its factorization.

10103241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108692 (or 108678 counting only the distinct ones).

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

Adding to 10103241000 its reverse (14230101), we get a palindrome (10117471101).

The spelling of 10103241000 in words is "ten billion, one hundred three million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 108637 217274 325911 434548 543185 651822 869096 1086370 1303644 1629555 2172740 2607288 2715925 3259110 3367747 4345480 5431850 6518220 6735494 8147775 10103241 10863700 13036440 13470988 13579625 16295550 16838735 20206482 21727400 26941976 27159250 32591100 33677470 40412964 40738875 50516205 54318500 65182200 67354940 80825928 81477750 84193675 101032410 108637000 134709880 162955500 168387350 202064820 252581025 325911000 336774700 404129640 420968375 505162050 673549400 841936750 1010324100 1262905125 1683873500 2020648200 2525810250 3367747000 5051620500 10103241000