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1033101213029 is a prime number
BaseRepresentation
bin11110000100010011010…
…00010111110101100101
310122202121121012021100222
433002021220113311211
5113411242402304104
62110333344214125
7134432132264204
oct17021150276545
93582547167328
101033101213029
1136915477a1a6
1214827b60a345
1376561cc1b22
14380066c323b
151bd177781be
hexf089a17d65

1033101213029 has 2 divisors, whose sum is σ = 1033101213030. Its totient is φ = 1033101213028.

The previous prime is 1033101213019. The next prime is 1033101213091. The reversal of 1033101213029 is 9203121013301.

1033101213029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980832736900 + 52268476129 = 990370^2 + 228623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1033101213029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033101212989 and 1033101213007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033101213019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516550606514 + 516550606515.

It is an arithmetic number, because the mean of its divisors is an integer number (516550606515).

Almost surely, 21033101213029 is an apocalyptic number.

It is an amenable number.

1033101213029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033101213029 is an equidigital number, since it uses as much as digits as its factorization.

1033101213029 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 26.

The spelling of 1033101213029 in words is "one trillion, thirty-three billion, one hundred one million, two hundred thirteen thousand, twenty-nine".