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1032103132033 is a prime number
BaseRepresentation
bin11110000010011100010…
…00111111101110000001
310122200001001010111122011
433001032020333232001
5113402221400211113
62110050332012521
7134365322605111
oct17011610775601
93580031114564
101032103132033
11368792347176
12148041301141
13764332a725c
1437d4dd15041
151bca9d2563d
hexf04e23fb81

1032103132033 has 2 divisors, whose sum is σ = 1032103132034. Its totient is φ = 1032103132032.

The previous prime is 1032103132009. The next prime is 1032103132057. The reversal of 1032103132033 is 3302313012301.

1032103132033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1032103132009) and next prime (1032103132057).

It can be written as a sum of positive squares in only one way, i.e., 975219451024 + 56883681009 = 987532^2 + 238503^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032103132033 - 213 = 1032103123841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032103131995 and 1032103132013.

It is not a weakly prime, because it can be changed into another prime (1032103132433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516051566016 + 516051566017.

It is an arithmetic number, because the mean of its divisors is an integer number (516051566017).

Almost surely, 21032103132033 is an apocalyptic number.

It is an amenable number.

1032103132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032103132033 is an equidigital number, since it uses as much as digits as its factorization.

1032103132033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1032103132033 its reverse (3302313012301), we get a palindrome (4334416144334).

The spelling of 1032103132033 in words is "one trillion, thirty-two billion, one hundred three million, one hundred thirty-two thousand, thirty-three".