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10324241000 = 2353531311487
BaseRepresentation
bin10011001110101111…
…10110101001101000
3222122111212210011022
421213113312221220
5132121001203000
64424244152012
7513562412663
oct114727665150
928574783138
1010324241000
114418846087
122001698608
13c86c24b58
146dd2466da
154065a9585
hex2675f6a68

10324241000 has 128 divisors (see below), whose sum is σ = 24819125760. Its totient is φ = 4018144000.

The previous prime is 10324240999. The next prime is 10324241021. The reversal of 10324241000 is 14242301.

It is a self number, because there is not a number n which added to its sum of digits gives 10324241000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6942257 + ... + 6943743.

It is an arithmetic number, because the mean of its divisors is an integer number (193899420).

Almost surely, 210324241000 is an apocalyptic number.

10324241000 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 10324241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409562880).

10324241000 is an abundant number, since it is smaller than the sum of its proper divisors (14494884760).

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

10324241000 is a wasteful number, since it uses less digits than its factorization.

10324241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10324241000 its reverse (14242301), we get a palindrome (10338483301).

The spelling of 10324241000 in words is "ten billion, three hundred twenty-four million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 131 200 212 250 262 265 424 500 524 530 655 1000 1048 1060 1310 1325 1487 2120 2620 2650 2974 3275 5240 5300 5948 6550 6625 6943 7435 10600 11896 13100 13250 13886 14870 16375 26200 26500 27772 29740 32750 34715 37175 53000 55544 59480 65500 69430 74350 78811 131000 138860 148700 157622 173575 185875 194797 277720 297400 315244 347150 371750 389594 394055 630488 694300 743500 779188 788110 867875 973985 1388600 1487000 1558376 1576220 1735750 1947970 1970275 3152440 3471500 3895940 3940550 4869925 6943000 7791880 7881100 9739850 9851375 10324241 15762200 19479700 19702750 20648482 24349625 38959400 39405500 41296964 48699250 51621205 78811000 82593928 97398500 103242410 194797000 206484820 258106025 412969640 516212050 1032424100 1290530125 2064848200 2581060250 5162120500 10324241000