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13030120233 = 3213868112829
BaseRepresentation
bin11000010001010011…
…11101101100101001
31020122002110200122200
430020221331230221
5203141202321413
65552544410413
7640620123504
oct141051755451
936562420580
1013030120233
115587188209
122637916a09
1312c86b9620
148b876a13b
15513e01573
hex308a7db29

13030120233 has 24 divisors (see below), whose sum is σ = 20272990920. Its totient is φ = 8016986880.

The previous prime is 13030120223. The next prime is 13030120309. The reversal of 13030120233 is 33202103031.

13030120233 is a `hidden beast` number, since 130 + 301 + 2 + 0 + 233 = 666.

13030120233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3281914944 + 9748205289 = 57288^2 + 98733^2 .

It is not a de Polignac number, because 13030120233 - 29 = 13030119721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13030120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009263 + ... + 1022091.

It is an arithmetic number, because the mean of its divisors is an integer number (844707955).

Almost surely, 213030120233 is an apocalyptic number.

13030120233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13030120233 is a deficient number, since it is larger than the sum of its proper divisors (7242870687).

13030120233 is a wasteful number, since it uses less digits than its factorization.

13030120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21529 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13030120233 its reverse (33202103031), we get a palindrome (46232223264).

The spelling of 13030120233 in words is "thirteen billion, thirty million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 117 8681 12829 26043 38487 78129 112853 115461 166777 338559 500331 1015677 1500993 111368549 334105647 1002316941 1447791137 4343373411 13030120233