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11300401224 = 2332722421431
BaseRepresentation
bin10101000011000111…
…00111000001001000
31002011112200212020200
422201203213001020
5141120400314344
65105154452200
7550014553110
oct124143470110
932145625220
1011300401224
114879866772
122234594060
1310b1235c58
14792b4a040
1546212c069
hex2a18e7048

11300401224 has 48 divisors (see below), whose sum is σ = 34977433920. Its totient is φ = 3228685920.

The previous prime is 11300401163. The next prime is 11300401237. The reversal of 11300401224 is 42210400311.

11300401224 is a `hidden beast` number, since 11 + 30 + 0 + 401 + 224 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11300401197 and 11300401206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11210212 + ... + 11211219.

It is an arithmetic number, because the mean of its divisors is an integer number (728696540).

Almost surely, 211300401224 is an apocalyptic number.

11300401224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11300401224 is an abundant number, since it is smaller than the sum of its proper divisors (23677032696).

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

11300401224 is a wasteful number, since it uses less digits than its factorization.

11300401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22421450 (or 22421443 counting only the distinct ones).

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

Adding to 11300401224 its reverse (42210400311), we get a palindrome (53510801535).

The spelling of 11300401224 in words is "eleven billion, three hundred million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 22421431 44842862 67264293 89685724 134528586 156950017 179371448 201792879 269057172 313900034 403585758 470850051 538114344 627800068 807171516 941700102 1255600136 1412550153 1614343032 1883400204 2825100306 3766800408 5650200612 11300401224