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11200224312 = 2332155558671
BaseRepresentation
bin10100110111001010…
…11101110000111000
31001220120012100100200
422123211131300320
5140414224134222
65051215402200
7544360223124
oct123345356070
931816170320
1011200224312
114828264332
122206b23360
13109655ca84
14783710584
1545843eeac
hex29b95dc38

11200224312 has 24 divisors (see below), whose sum is σ = 30333941040. Its totient is φ = 3733408080.

The previous prime is 11200224307. The next prime is 11200224317. The reversal of 11200224312 is 21342200211.

It is a happy number.

11200224312 is a `hidden beast` number, since 11 + 200 + 22 + 431 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11200224307) and next prime (11200224317).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200224317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77779264 + ... + 77779407.

It is an arithmetic number, because the mean of its divisors is an integer number (1263914210).

Almost surely, 211200224312 is an apocalyptic number.

11200224312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200224312 is an abundant number, since it is smaller than the sum of its proper divisors (19133716728).

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

11200224312 is a wasteful number, since it uses less digits than its factorization.

11200224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155558683 (or 155558676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11200224312 its reverse (21342200211), we get a palindrome (32542424523).

The spelling of 11200224312 in words is "eleven billion, two hundred million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 155558671 311117342 466676013 622234684 933352026 1244469368 1400028039 1866704052 2800056078 3733408104 5600112156 11200224312