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103520430400 = 265264700269
BaseRepresentation
bin110000001101001001…
…1000110100101000000
3100220012111221201212211
41200122103012211000
53144002212233100
6115320122031504
710323222065662
oct1403223064500
9326174851784
10103520430400
113a9a2647612
1218090948594
1399b9c8035a
14502081a532
152a5d3301ba
hex181a4c6940

103520430400 has 42 divisors (see below), whose sum is σ = 254724962990. Its totient is φ = 41408171520.

The previous prime is 103520430379. The next prime is 103520430449. The reversal of 103520430400 is 4034025301.

It can be written as a sum of positive squares in 3 ways, for example, as 47554816 + 103472875584 = 6896^2 + 321672^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32348535 + ... + 32351734.

Almost surely, 2103520430400 is an apocalyptic number.

103520430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103520430400 is an abundant number, since it is smaller than the sum of its proper divisors (151204532590).

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

103520430400 is an equidigital number, since it uses as much as digits as its factorization.

103520430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64700291 (or 64700276 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 103520430400 its reverse (4034025301), we get a palindrome (107554455701).

The spelling of 103520430400 in words is "one hundred three billion, five hundred twenty million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 64700269 129400538 258801076 323501345 517602152 647002690 1035204304 1294005380 1617506725 2070408608 2588010760 3235013450 4140817216 5176021520 6470026900 10352043040 12940053800 20704086080 25880107600 51760215200 103520430400