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11001442400 = 2552131057831
BaseRepresentation
bin10100011111011110…
…01011000001100000
31001101201011011211122
422033233023001200
5140012332124100
65015355031412
7536424501044
oct121757130140
931351134748
1011001442400
114736033563
12217043b568
131064311040
14765168024
15445c76985
hex28fbcb060

11001442400 has 72 divisors (see below), whose sum is σ = 28923242544. Its totient is φ = 4062067200.

The previous prime is 11001442381. The next prime is 11001442447. The reversal of 11001442400 is 424410011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518516 + ... + 539315.

It is an arithmetic number, because the mean of its divisors is an integer number (401711702).

Almost surely, 211001442400 is an apocalyptic number.

11001442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001442400 is an abundant number, since it is smaller than the sum of its proper divisors (17921800144).

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

11001442400 is a wasteful number, since it uses less digits than its factorization.

11001442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057864 (or 1057851 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11001442400 its reverse (424410011), we get a palindrome (11425852411).

The spelling of 11001442400 in words is "eleven billion, one million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 1057831 2115662 4231324 5289155 8462648 10578310 13751803 16925296 21156620 26445775 27503606 33850592 42313240 52891550 55007212 68759015 84626480 105783100 110014424 137518030 169252960 211566200 220028848 275036060 343795075 423132400 440057696 550072120 687590150 846264800 1100144240 1375180300 2200288480 2750360600 5500721200 11001442400