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42003136331173 is a prime number
BaseRepresentation
bin10011000110011100111100…
…00001010011110110100101
312111201110102210022222211101
421203032132001103312211
521001134410400044143
6225155550251440101
711563424605654333
oct1143163601236645
9174643383288741
1042003136331173
1112424480491996
1248645a5456031
131a58b568377a4
14a52d696dcb53
154cc8e821cb4d
hex26339e053da5

42003136331173 has 2 divisors, whose sum is σ = 42003136331174. Its totient is φ = 42003136331172.

The previous prime is 42003136331129. The next prime is 42003136331311. The reversal of 42003136331173 is 37113363130024.

42003136331173 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., 40872788871489 + 1130347459684 = 6393183^2 + 1063178^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42003136331173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42003136331573) 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, 21001568165586 + 21001568165587.

It is an arithmetic number, because the mean of its divisors is an integer number (21001568165587).

Almost surely, 242003136331173 is an apocalyptic number.

It is an amenable number.

42003136331173 is a deficient number, since it is larger than the sum of its proper divisors (1).

42003136331173 is an equidigital number, since it uses as much as digits as its factorization.

42003136331173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 37.

Adding to 42003136331173 its reverse (37113363130024), we get a palindrome (79116499461197).

The spelling of 42003136331173 in words is "forty-two trillion, three billion, one hundred thirty-six million, three hundred thirty-one thousand, one hundred seventy-three".