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10030354304 = 27531917741
BaseRepresentation
bin10010101011101101…
…10000111110000000
3221220000212210101212
421111312300332000
5131020232314204
64335145145252
7503363414315
oct112566607600
927800783355
1010030354304
114287967713
121b3b18b228
13c3b0877b9
146b21c4d0c
153da8a6c6e
hex255db0f80

10030354304 has 64 divisors (see below), whose sum is σ = 20468609280. Its totient is φ = 4894156800.

The previous prime is 10030354283. The next prime is 10030354307. The reversal of 10030354304 is 40345303001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10030354304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030354307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1291874 + ... + 1299614.

It is an arithmetic number, because the mean of its divisors is an integer number (319822020).

Almost surely, 210030354304 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 10030354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234304640).

10030354304 is an abundant number, since it is smaller than the sum of its proper divisors (10438254976).

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

10030354304 is an equidigital number, since it uses as much as digits as its factorization.

10030354304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7999 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 10030354304 its reverse (40345303001), we get a palindrome (50375657305).

The spelling of 10030354304 in words is "ten billion, thirty million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 191 212 382 424 764 848 1528 1696 3056 3392 6112 6784 7741 10123 12224 15482 20246 24448 30964 40492 61928 80984 123856 161968 247712 323936 410273 495424 647872 820546 990848 1295744 1478531 1641092 2957062 3282184 5914124 6564368 11828248 13128736 23656496 26257472 47312992 52514944 78362143 94625984 156724286 189251968 313448572 626897144 1253794288 2507588576 5015177152 10030354304