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33009144101 is a prime number
BaseRepresentation
bin11110101111011111…
…111001000100100101
310011012110112021001122
4132233133321010211
51020100320102401
623055244303325
72245666044503
oct365737710445
9104173467048
1033009144101
1112aa988a58a
126492841b45
13316092b73b
141851d51673
15cd2dc721b
hex7af7f9125

33009144101 has 2 divisors, whose sum is σ = 33009144102. Its totient is φ = 33009144100.

The previous prime is 33009144089. The next prime is 33009144139. The reversal of 33009144101 is 10144190033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32842863076 + 166281025 = 181226^2 + 12895^2 .

It is a cyclic number.

It is not a de Polignac number, because 33009144101 - 226 = 32942035237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33009144151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16504572050 + 16504572051.

It is an arithmetic number, because the mean of its divisors is an integer number (16504572051).

Almost surely, 233009144101 is an apocalyptic number.

It is an amenable number.

33009144101 is a deficient number, since it is larger than the sum of its proper divisors (1).

33009144101 is an equidigital number, since it uses as much as digits as its factorization.

33009144101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 33009144101 in words is "thirty-three billion, nine million, one hundred forty-four thousand, one hundred one".