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11324422400 = 28521769441
BaseRepresentation
bin10101000101111110…
…01111100100000000
31002020012220021002212
422202333033210000
5141143023004100
65111413401252
7550426000514
oct124277174400
932205807085
1011324422400
114891383185
122240639228
1310b61c6775
14796000144
154642c4635
hex2a2fcf900

11324422400 has 54 divisors (see below), whose sum is σ = 28029730722. Its totient is φ = 4529766400.

The previous prime is 11324422399. The next prime is 11324422411. The reversal of 11324422400 is 422442311.

It can be written as a sum of positive squares in 3 ways, for example, as 1823631616 + 9500790784 = 42704^2 + 97472^2 .

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, 878321 + ... + 891120.

Almost surely, 211324422400 is an apocalyptic number.

11324422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11324422400 is an abundant number, since it is smaller than the sum of its proper divisors (16705308322).

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

11324422400 is an equidigital number, since it uses as much as digits as its factorization.

11324422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769467 (or 1769448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 11324422400 its reverse (422442311), we get a palindrome (11746864711).

The spelling of 11324422400 in words is "eleven billion, three hundred twenty-four million, four hundred twenty-two 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 1769441 3538882 7077764 8847205 14155528 17694410 28311056 35388820 44236025 56622112 70777640 88472050 113244224 141555280 176944100 226488448 283110560 353888200 452976896 566221120 707776400 1132442240 1415552800 2264884480 2831105600 5662211200 11324422400