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10212031320 = 2335739471231
BaseRepresentation
bin10011000001010111…
…10011101101011000
3222100200201221102020
421200223303231120
5131403240000240
64405155134440
7511030556031
oct114053635530
928320657366
1010212031320
114370475307
121b8bba4420
13c698c7aaa
146cc397a88
153eb7e20d0
hex260af3b58

10212031320 has 128 divisors (see below), whose sum is σ = 31113815040. Its totient is φ = 2680888320.

The previous prime is 10212031283. The next prime is 10212031331. The reversal of 10212031320 is 2313021201.

10212031320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212031320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8295105 + ... + 8296335.

It is an arithmetic number, because the mean of its divisors is an integer number (243076680).

Almost surely, 210212031320 is an apocalyptic number.

10212031320 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 10212031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556907520).

10212031320 is an abundant number, since it is smaller than the sum of its proper divisors (20901783720).

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

10212031320 is a wasteful number, since it uses less digits than its factorization.

10212031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10212031320 its reverse (2313021201), we get a palindrome (12525052521).

The spelling of 10212031320 in words is "ten billion, two hundred twelve million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 947 1095 1231 1460 1752 1894 2190 2462 2841 2920 3693 3788 4380 4735 4924 5682 6155 7386 7576 8760 9470 9848 11364 12310 14205 14772 18465 18940 22728 24620 28410 29544 36930 37880 49240 56820 69131 73860 89863 113640 138262 147720 179726 207393 269589 276524 345655 359452 414786 449315 539178 553048 691310 718904 829572 898630 1036965 1078356 1165757 1347945 1382620 1659144 1797260 2073930 2156712 2331514 2695890 2765240 3497271 3594520 4147860 4663028 5391780 5828785 6994542 8295720 9326056 10783560 11657570 13989084 17486355 23315140 27978168 34972710 46630280 69945420 85100261 139890840 170200522 255300783 340401044 425501305 510601566 680802088 851002610 1021203132 1276503915 1702005220 2042406264 2553007830 3404010440 5106015660 10212031320