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103120003033 = 372611234837
BaseRepresentation
bin110000000001001101…
…1100101111111011001
3100212011121110220210121
41200002123211333121
53142142210044113
6115212255313241
710310260364155
oct1400233457731
9325147426717
10103120003033
113a80760a603
1217b9a81b821
13995501c398
144dc3584065
152a380d4e8d
hex18026e5fd9

103120003033 has 12 divisors (see below), whose sum is σ = 107719858092. Its totient is φ = 98688093120.

The previous prime is 103120003009. The next prime is 103120003043. The reversal of 103120003033 is 330300021301.

It can be written as a sum of positive squares in 6 ways, for example, as 2257865289 + 100862137744 = 47517^2 + 317588^2 .

It is not a de Polignac number, because 103120003033 - 213 = 103119994841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103120002998 and 103120003016.

It is not an unprimeable number, because it can be changed into a prime (103120003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533910 + ... + 700927.

It is an arithmetic number, because the mean of its divisors is an integer number (8976654841).

Almost surely, 2103120003033 is an apocalyptic number.

It is an amenable number.

103120003033 is a deficient number, since it is larger than the sum of its proper divisors (4599855059).

103120003033 is an equidigital number, since it uses as much as digits as its factorization.

103120003033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234972 (or 1234935 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 103120003033 its reverse (330300021301), we get a palindrome (433420024334).

The spelling of 103120003033 in words is "one hundred three billion, one hundred twenty million, three thousand, thirty-three".

Divisors: 1 37 61 1369 2257 83509 1234837 45688969 75325057 1690491853 2787027109 103120003033