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10303003120 = 24571892229
BaseRepresentation
bin10011001100001101…
…10101100111110000
3222121000220210021011
421212012311213300
5132100032044440
64422205040304
7513214036654
oct114606654760
928530823234
1010303003120
11440785a813
121bb6556094
13c826ca167
146da4b8a64
154047b19ea
hex2661b59f0

10303003120 has 120 divisors (see below), whose sum is σ = 24675161760. Its totient is φ = 3999959040.

The previous prime is 10303003097. The next prime is 10303003121. The reversal of 10303003120 is 2130030301.

10303003120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10303003120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303003121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44991166 + ... + 44991394.

It is an arithmetic number, because the mean of its divisors is an integer number (205626348).

Almost surely, 210303003120 is an apocalyptic number.

10303003120 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 10303003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337580880).

10303003120 is an abundant number, since it is smaller than the sum of its proper divisors (14372158640).

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

10303003120 is an equidigital number, since it uses as much as digits as its factorization.

10303003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10303003120 its reverse (2130030301), we get a palindrome (12433033421).

The spelling of 10303003120 in words is "ten billion, three hundred three million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 89 142 178 229 284 355 356 445 458 568 710 712 890 916 1136 1145 1420 1424 1780 1832 2290 2840 3560 3664 4580 5680 6319 7120 7921 9160 12638 15842 16259 18320 20381 25276 31595 31684 32518 39605 40762 50552 63190 63368 65036 79210 81295 81524 101104 101905 126380 126736 130072 158420 162590 163048 203810 252760 260144 316840 325180 326096 407620 505520 562391 633680 650360 815240 1124782 1300720 1447051 1630480 1813909 2249564 2811955 2894102 3627818 4499128 5623910 5788204 7235255 7255636 8998256 9069545 11247820 11576408 14470510 14511272 18139090 22495640 23152816 28941020 29022544 36278180 44991280 57882040 72556360 115764080 128787539 145112720 257575078 515150156 643937695 1030300312 1287875390 2060600624 2575750780 5151501560 10303003120