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10103133113 = 476110334213
BaseRepresentation
bin10010110100011000…
…11001001110111001
3222002002211100011022
421122030121032321
5131142400224423
64350305112225
7505236133403
oct113214311671
928062740138
1010103133113
114314a56497
121b5b628675
13c5018a098
146bbb2bb73
153e1e80dc8
hex25a3193b9

10103133113 has 16 divisors (see below), whose sum is σ = 10589369856. Its totient is φ = 9631362240.

The previous prime is 10103133107. The next prime is 10103133137. The reversal of 10103133113 is 31133130101.

10103133113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10103133113 - 24 = 10103133097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10103133091 and 10103133100.

It is not an unprimeable number, because it can be changed into a prime (10103133163) 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 15 ways as a sum of consecutive naturals, for example, 278195 + ... + 312407.

It is an arithmetic number, because the mean of its divisors is an integer number (661835616).

Almost surely, 210103133113 is an apocalyptic number.

It is an amenable number.

10103133113 is a deficient number, since it is larger than the sum of its proper divisors (486236743).

10103133113 is a wasteful number, since it uses less digits than its factorization.

10103133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34424.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10103133113 its reverse (31133130101), we get a palindrome (41236263214).

The spelling of 10103133113 in words is "ten billion, one hundred three million, one hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 47 61 103 2867 4841 6283 34213 295301 1608011 2086993 3523939 98088671 165625133 214960279 10103133113