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10030322320 = 2451755713241
BaseRepresentation
bin10010101011101101…
…01001001010010000
3221220000211011112021
421111312221022100
5131020230303240
64335144341224
7503363222134
oct112566511220
927800734467
1010030322320
114287945687
121b3b174814
13c3b076085
146b21b73c4
153da89c54a
hex255da9290

10030322320 has 80 divisors (see below), whose sum is σ = 24738492528. Its totient is φ = 3769057280.

The previous prime is 10030322261. The next prime is 10030322329. The reversal of 10030322320 is 2322303001.

It can be written as a sum of positive squares in 8 ways, for example, as 366645904 + 9663676416 = 19148^2 + 98304^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10030322294 and 10030322303.

It is not an unprimeable number, because it can be changed into a prime (10030322329) 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, 750900 + ... + 764140.

Almost surely, 210030322320 is an apocalyptic number.

10030322320 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 10030322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369246264).

10030322320 is an abundant number, since it is smaller than the sum of its proper divisors (14708170208).

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

10030322320 is a wasteful number, since it uses less digits than its factorization.

10030322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13828 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10030322320 its reverse (2322303001), we get a palindrome (12352625321).

The spelling of 10030322320 in words is "ten billion, thirty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 557 680 1114 1360 2228 2785 4456 5570 8912 9469 11140 13241 18938 22280 26482 37876 44560 47345 52964 66205 75752 94690 105928 132410 151504 189380 211856 225097 264820 378760 450194 529640 757520 900388 1059280 1125485 1800776 2250970 3601552 4501940 7375237 9003880 14750474 18007760 29500948 36876185 59001896 73752370 118003792 125379029 147504740 250758058 295009480 501516116 590018960 626895145 1003032232 1253790290 2006064464 2507580580 5015161160 10030322320