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10303107808 = 257192718933
BaseRepresentation
bin10011001100001110…
…01111001011100000
3222121001010002212111
421212013033023200
5132100043422213
64422211205104
7513214654120
oct114607171340
928531102774
1010303107808
114407921434
121bb65a6794
13c827359c6
146da504c80
154047d2a3d
hex2661cf2e0

10303107808 has 96 divisors (see below), whose sum is σ = 24494883840. Its totient is φ = 4167313920.

The previous prime is 10303107803. The next prime is 10303107809. The reversal of 10303107808 is 80870130301.

It is a self number, because there is not a number n which added to its sum of digits gives 10303107808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303107803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148910 + ... + 1157842.

It is an arithmetic number, because the mean of its divisors is an integer number (255155040).

Almost surely, 210303107808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10303107808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247441920).

10303107808 is an abundant number, since it is smaller than the sum of its proper divisors (14191776032).

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

10303107808 is a wasteful number, since it uses less digits than its factorization.

10303107808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 10303107808 in words is "ten billion, three hundred three million, one hundred seven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 271 304 532 542 608 1064 1084 1897 2128 2168 3794 4256 4336 5149 7588 8672 8933 10298 15176 17866 20596 30352 35732 36043 41192 60704 62531 71464 72086 82384 125062 142928 144172 164768 169727 250124 285856 288344 339454 500248 576688 678908 1000496 1153376 1188089 1357816 2000992 2376178 2420843 2715632 4752356 4841686 5431264 9504712 9683372 16945901 19009424 19366744 33891802 38018848 38733488 45996017 67783604 77466976 91992034 135567208 183984068 271134416 321972119 367968136 542268832 643944238 735936272 1287888476 1471872544 2575776952 5151553904 10303107808