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20130310400 = 28523145361
BaseRepresentation
bin10010101111110111…
…000010100100000000
31220221220201201111212
4102233313002210000
5312211324413100
613125302225252
71311563546414
oct225767024400
956856651455
1020130310400
1185a0043172
123a99725228
131b8a6a1795
14d8d726d44
157cc40b635
hex4afdc2900

20130310400 has 54 divisors (see below), whose sum is σ = 49825679442. Its totient is φ = 8052121600.

The previous prime is 20130310373. The next prime is 20130310411. The reversal of 20130310400 is 401303102.

It can be written as a sum of positive squares in 3 ways, for example, as 88811776 + 20041498624 = 9424^2 + 141568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1566281 + ... + 1579080.

Almost surely, 220130310400 is an apocalyptic number.

20130310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130310400 is an abundant number, since it is smaller than the sum of its proper divisors (29695369042).

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

20130310400 is an equidigital number, since it uses as much as digits as its factorization.

20130310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145387 (or 3145368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20130310400 its reverse (401303102), we get a palindrome (20531613502).

The spelling of 20130310400 in words is "twenty billion, one hundred thirty million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 3145361 6290722 12581444 15726805 25162888 31453610 50325776 62907220 78634025 100651552 125814440 157268050 201303104 251628880 314536100 402606208 503257760 629072200 805212416 1006515520 1258144400 2013031040 2516288800 4026062080 5032577600 10065155200 20130310400