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10311443340 = 2235113129119
BaseRepresentation
bin10011001101001110…
…00010001110001100
3222121121210121001220
421212213002032030
5132104212141330
64423110003340
7513345552012
oct114647021614
928547717056
1010311443340
1144115a5000
121bb9346550
13c84393a83
146db6748b2
154053cc710
hex2669c238c

10311443340 has 96 divisors (see below), whose sum is σ = 31757322240. Its totient is φ = 2499724480.

The previous prime is 10311443327. The next prime is 10311443371. The reversal of 10311443340 is 4334411301.

It is a self number, because there is not a number n which added to its sum of digits gives 10311443340.

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, 15301 + ... + 144419.

It is an arithmetic number, because the mean of its divisors is an integer number (330805440).

Almost surely, 210311443340 is an apocalyptic number.

10311443340 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 10311443340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878661120).

10311443340 is an abundant number, since it is smaller than the sum of its proper divisors (21445878900).

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

10311443340 is a wasteful number, since it uses less digits than its factorization.

10311443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129164 (or 129140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10311443340 its reverse (4334411301), we get a palindrome (14645854641).

The spelling of 10311443340 in words is "ten billion, three hundred eleven million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1452 1815 2420 2662 3630 3993 5324 6655 7260 7986 13310 15972 19965 26620 39930 79860 129119 258238 387357 516476 645595 774714 1291190 1420309 1549428 1936785 2582380 2840618 3873570 4260927 5681236 7101545 7747140 8521854 14203090 15623399 17043708 21304635 28406180 31246798 42609270 46870197 62493596 78116995 85218540 93740394 156233990 171857389 187480788 234350985 312467980 343714778 468701970 515572167 687429556 859286945 937403940 1031144334 1718573890 2062288668 2577860835 3437147780 5155721670 10311443340