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2033031023113 is a prime number
BaseRepresentation
bin11101100101011010000…
…101111000101000001001
321012100121102112200101111
4131211122011320220021
5231302121420214423
64153543410250321
7266611255366006
oct35453205705011
97170542480344
102033031023113
117142270143a2
1228a021b869a1
1311993888356c
14705836988ad
1537d3cc7760d
hex1d95a178a09

2033031023113 has 2 divisors, whose sum is σ = 2033031023114. Its totient is φ = 2033031023112.

The previous prime is 2033031023069. The next prime is 2033031023147. The reversal of 2033031023113 is 3113201303302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1129263278224 + 903767744889 = 1062668^2 + 950667^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033031023113 - 213 = 2033031014921 is a prime.

It is not a weakly prime, because it can be changed into another prime (2033031020113) 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 as a sum of consecutive naturals, namely, 1016515511556 + 1016515511557.

It is an arithmetic number, because the mean of its divisors is an integer number (1016515511557).

Almost surely, 22033031023113 is an apocalyptic number.

It is an amenable number.

2033031023113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033031023113 is an equidigital number, since it uses as much as digits as its factorization.

2033031023113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2033031023113 its reverse (3113201303302), we get a palindrome (5146232326415).

The spelling of 2033031023113 in words is "two trillion, thirty-three billion, thirty-one million, twenty-three thousand, one hundred thirteen".