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10314785400 = 2335217191309
BaseRepresentation
bin10011001101100111…
…10010001001111000
3222121212002101111220
421212303302021320
5132111041113100
64423305352040
7513416141433
oct114663621170
928555071456
1010314785400
114413477a37
121bba498620
13c84c9401a
146dbca481a
1540583caa0
hex266cf2278

10314785400 has 48 divisors (see below), whose sum is σ = 31975836600. Its totient is φ = 2750609280.

The previous prime is 10314785339. The next prime is 10314785443. The reversal of 10314785400 is 458741301.

10314785400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8595055 + ... + 8596254.

Almost surely, 210314785400 is an apocalyptic number.

10314785400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314785400 is an abundant number, since it is smaller than the sum of its proper divisors (21661051200).

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

10314785400 is a wasteful number, since it uses less digits than its factorization.

10314785400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17191328 (or 17191319 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10314785400 in words is "ten billion, three hundred fourteen million, seven hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 17191309 34382618 51573927 68765236 85956545 103147854 137530472 171913090 206295708 257869635 343826180 412591416 429782725 515739270 687652360 859565450 1031478540 1289348175 1719130900 2062957080 2578696350 3438261800 5157392700 10314785400