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10303111120 = 2451717942323
BaseRepresentation
bin10011001100001110…
…01111111111010000
3222121001010021102011
421212013033333100
5132100044023440
64422211232304
7513214666561
oct114607177720
928531107364
1010303111120
114407923975
121bb65a8694
13c82737373
146da506168
154047d39ea
hex2661cffd0

10303111120 has 80 divisors (see below), whose sum is σ = 25506135360. Its totient is φ = 3857057792.

The previous prime is 10303111087. The next prime is 10303111129. The reversal of 10303111120 is 2111130301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10303111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303111129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 222279 + ... + 264601.

It is an arithmetic number, because the mean of its divisors is an integer number (318826692).

Almost surely, 210303111120 is an apocalyptic number.

10303111120 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 10303111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753067680).

10303111120 is an abundant number, since it is smaller than the sum of its proper divisors (15203024240).

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

10303111120 is a wasteful number, since it uses less digits than its factorization.

10303111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42532 (or 42526 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10303111120 its reverse (2111130301), we get a palindrome (12414241421).

The spelling of 10303111120 in words is "ten billion, three hundred three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 179 272 340 358 680 716 895 1360 1432 1790 2864 3043 3580 6086 7160 12172 14320 15215 24344 30430 42323 48688 60860 84646 121720 169292 211615 243440 338584 423230 677168 719491 846460 1438982 1692920 2877964 3385840 3597455 5755928 7194910 7575817 11511856 14389820 15151634 28779640 30303268 37879085 57559280 60606536 75758170 121213072 128788889 151516340 257577778 303032680 515155556 606065360 643944445 1030311112 1287888890 2060622224 2575777780 5151555560 10303111120