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1023002033029 is a prime number
BaseRepresentation
bin11101110001011111010…
…11000011101110000101
310121210112202210202212021
432320233223003232011
5113230102010024104
62101543255523141
7133623641543554
oct16705753035605
93553482722767
101023002033029
11364941a83849
121463213894b1
13756128ba182
1437729303d9b
151b925d28754
hexee2fac3b85

1023002033029 has 2 divisors, whose sum is σ = 1023002033030. Its totient is φ = 1023002033028.

The previous prime is 1023002032999. The next prime is 1023002033057. The reversal of 1023002033029 is 9203302003201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 938957124004 + 84044909025 = 968998^2 + 289905^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023002033029 - 221 = 1022999935877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023002032994 and 1023002033012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023002033329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511501016514 + 511501016515.

It is an arithmetic number, because the mean of its divisors is an integer number (511501016515).

Almost surely, 21023002033029 is an apocalyptic number.

It is an amenable number.

1023002033029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023002033029 is an equidigital number, since it uses as much as digits as its factorization.

1023002033029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 1023002033029 in words is "one trillion, twenty-three billion, two million, thirty-three thousand, twenty-nine".