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10304310400 = 27523220097
BaseRepresentation
bin10011001100010111…
…10100110010000000
3222121010101012111221
421212023310302000
5132100400413100
64422253044424
7513231123166
oct114613646200
928533335457
1010304310400
114408572a0a
121bb6a86714
13c82a671b7
146da739236
1540496e01a
hex2662f4c80

10304310400 has 48 divisors (see below), whose sum is σ = 25454874690. Its totient is φ = 4121722880.

The previous prime is 10304310391. The next prime is 10304310407. The reversal of 10304310400 is 401340301.

It can be written as a sum of positive squares in 3 ways, for example, as 5752919104 + 4551391296 = 75848^2 + 67464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10304310407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1606849 + ... + 1613248.

Almost surely, 210304310400 is an apocalyptic number.

10304310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10304310400 is an abundant number, since it is smaller than the sum of its proper divisors (15150564290).

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

10304310400 is an equidigital number, since it uses as much as digits as its factorization.

10304310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220121 (or 3220104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10304310400 its reverse (401340301), we get a palindrome (10705650701).

The spelling of 10304310400 in words is "ten billion, three hundred four million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3220097 6440194 12880388 16100485 25760776 32200970 51521552 64401940 80502425 103043104 128803880 161004850 206086208 257607760 322009700 412172416 515215520 644019400 1030431040 1288038800 2060862080 2576077600 5152155200 10304310400