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11123300331 = 32111316995087
BaseRepresentation
bin10100101110000000…
…00001011111101011
31001201012110012111100
422113000001133223
5140240031102311
65035430532443
7542434331013
oct122700013753
931635405440
1011123300331
1147988a41a0
1221a5207123
131083638820
14777408c43
154517e7a56
hex2970017eb

11123300331 has 48 divisors (see below), whose sum is σ = 18890726400. Its totient is φ = 6217940160.

The previous prime is 11123300327. The next prime is 11123300339. The reversal of 11123300331 is 13300332111.

It is a happy number.

11123300331 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 330 + 0 + 331 = 666.

It is not a de Polignac number, because 11123300331 - 22 = 11123300327 is a prime.

It is a super-2 number, since 2×111233003312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11123300339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2184070 + ... + 2189156.

It is an arithmetic number, because the mean of its divisors is an integer number (393556800).

Almost surely, 211123300331 is an apocalyptic number.

11123300331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11123300331 is a deficient number, since it is larger than the sum of its proper divisors (7767426069).

11123300331 is a wasteful number, since it uses less digits than its factorization.

11123300331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11123300331 its reverse (13300332111), we get a palindrome (24423632442).

The spelling of 11123300331 in words is "eleven billion, one hundred twenty-three million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 1699 5087 5097 15261 15291 18689 22087 45783 55957 56067 66131 66261 167871 168201 198393 198783 242957 503613 595179 727441 728871 2182323 2186613 6546969 8642813 25928439 77785317 95070943 112356569 285212829 337069707 855638487 1011209121 1235922259 3707766777 11123300331