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10123200104 = 2310112528713
BaseRepresentation
bin10010110110110001…
…11100011001101000
3222010111120211220012
421123120330121220
5131213014400404
64352303151052
7505601531633
oct113330743150
928114524805
1010123200104
114325312086
121b662a5488
13c54394b44
146c0672c1a
153e3ae6a6e
hex25b63c668

10123200104 has 16 divisors (see below), whose sum is σ = 19168932420. Its totient is φ = 5011484800.

The previous prime is 10123200091. The next prime is 10123200107. The reversal of 10123200104 is 40100232101.

10123200104 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 2 ways, for example, as 9898260100 + 224940004 = 99490^2 + 14998^2 .

It is a super-2 number, since 2×101232001042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10123200107) 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 3 ways as a sum of consecutive naturals, for example, 6263549 + ... + 6265164.

Almost surely, 210123200104 is an apocalyptic number.

It is an amenable number.

10123200104 is a deficient number, since it is larger than the sum of its proper divisors (9045732316).

10123200104 is a wasteful number, since it uses less digits than its factorization.

10123200104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12528820 (or 12528816 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10123200104 its reverse (40100232101), we get a palindrome (50223432205).

The spelling of 10123200104 in words is "ten billion, one hundred twenty-three million, two hundred thousand, one hundred four".

Divisors: 1 2 4 8 101 202 404 808 12528713 25057426 50114852 100229704 1265400013 2530800026 5061600052 10123200104