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11330132400 = 2432523147259
BaseRepresentation
bin10101000110101010…
…00001100110110000
31002020121122100202100
422203111001212300
5141201003214100
65112140020400
7550525351656
oct124325014660
932217570670
1011330132400
114894623194
122242531700
1310b7445772
14796a88dd6
15464a51400
hex2a35419b0

11330132400 has 90 divisors (see below), whose sum is σ = 39318719180. Its totient is φ = 3021367680.

The previous prime is 11330132311. The next prime is 11330132441. The reversal of 11330132400 is 423103311.

11330132400 is a `hidden beast` number, since 1 + 133 + 0 + 132 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1570030 + ... + 1577229.

Almost surely, 211330132400 is an apocalyptic number.

11330132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330132400 is an abundant number, since it is smaller than the sum of its proper divisors (27988586780).

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

11330132400 is a wasteful number, since it uses less digits than its factorization.

11330132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147283 (or 3147269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11330132400 its reverse (423103311), we get a palindrome (11753235711).

The spelling of 11330132400 in words is "eleven billion, three hundred thirty million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3147259 6294518 9441777 12589036 15736295 18883554 25178072 28325331 31472590 37767108 47208885 50356144 56650662 62945180 75534216 78681475 94417770 113301324 125890360 141626655 151068432 157362950 188835540 226602648 236044425 251780720 283253310 314725900 377671080 453205296 472088850 566506620 629451800 708133275 755342160 944177700 1133013240 1258903600 1416266550 1888355400 2266026480 2832533100 3776710800 5665066200 11330132400