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430103311400 = 23527243888093
BaseRepresentation
bin1100100001001000010…
…01111011010000101000
31112010011122021000222002
412100210021323100220
524021322421431100
6525330422350132
743034234553200
oct6204411732050
91463148230862
10430103311400
11156451119854
126b43488b348
1331735236239
1416b62221400
15b2c462d2d5
hex642427b428

430103311400 has 72 divisors (see below), whose sum is σ = 1163253931470. Its totient is φ = 147463989120.

The previous prime is 430103311387. The next prime is 430103311441. The reversal of 430103311400 is 4113301034.

It can be written as a sum of positive squares in 3 ways, for example, as 242948438404 + 187154872996 = 492898^2 + 432614^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21934247 + ... + 21953846.

Almost surely, 2430103311400 is an apocalyptic number.

430103311400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430103311400 is an abundant number, since it is smaller than the sum of its proper divisors (733150620070).

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

430103311400 is a wasteful number, since it uses less digits than its factorization.

430103311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43888123 (or 43888107 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 430103311400 its reverse (4113301034), we get a palindrome (434216612434).

The spelling of 430103311400 in words is "four hundred thirty billion, one hundred three million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 43888093 87776186 175552372 219440465 307216651 351104744 438880930 614433302 877761860 1097202325 1228866604 1536083255 1755523720 2150516557 2194404650 2457733208 3072166510 4301033114 4388809300 6144333020 7680416275 8602066228 8777618600 10752582785 12288666040 15360832550 17204132456 21505165570 30721665100 43010331140 53762913925 61443330200 86020662280 107525827850 215051655700 430103311400