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332421141120137 is a prime number
BaseRepresentation
bin100101110010101011101010…
…0000010000100010010001001
31121121000011001212210202002122
41023211113110002010102021
5322032341444111321022
63135000055232141025
7130006430524140206
oct11345272402042211
91547004055722078
10332421141120137
1196a13017a63173
123134953b697775
131136424363b6b4
145c133aa4c0cad
152867084034742
hex12e55d4084489

332421141120137 has 2 divisors, whose sum is σ = 332421141120138. Its totient is φ = 332421141120136.

The previous prime is 332421141120113. The next prime is 332421141120143. The reversal of 332421141120137 is 731021141124233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227570831873401 + 104850309246736 = 15085451^2 + 10239644^2 .

It is a cyclic number.

It is not a de Polignac number, because 332421141120137 - 212 = 332421141116041 is a prime.

It is a super-2 number, since 2×3324211411201372 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332421141120097 and 332421141120106.

It is not a weakly prime, because it can be changed into another prime (332421141120737) 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, 166210570560068 + 166210570560069.

It is an arithmetic number, because the mean of its divisors is an integer number (166210570560069).

Almost surely, 2332421141120137 is an apocalyptic number.

It is an amenable number.

332421141120137 is a deficient number, since it is larger than the sum of its proper divisors (1).

332421141120137 is an equidigital number, since it uses as much as digits as its factorization.

332421141120137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 332421141120137 in words is "three hundred thirty-two trillion, four hundred twenty-one billion, one hundred forty-one million, one hundred twenty thousand, one hundred thirty-seven".