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42334213330201 = 1321715793854741
BaseRepresentation
bin10011010000000101100111…
…01111110101010100011001
312112220010000010010010212111
421220002303233311110121
521022100432103031301
6230012022532512321
711626355162013502
oct1150026357652431
9175803003103774
1042334213330201
1112541925857561
1248b87a247b6a1
131a81139bb7b00
14a64db5d1bba9
154d6323d46551
hex2680b3bf5519

42334213330201 has 24 divisors (see below), whose sum is σ = 48846888183384. Its totient is φ = 36544783242240.

The previous prime is 42334213330183. The next prime is 42334213330207. The reversal of 42334213330201 is 10203331243324.

It is a happy number.

42334213330201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 32881324882176 + 9452888448025 = 5734224^2 + 3074555^2 .

It is a de Polignac number, because none of the positive numbers 2k-42334213330201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42334213330207) 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 in 23 ways as a sum of consecutive naturals, for example, 46476310 + ... + 47378431.

It is an arithmetic number, because the mean of its divisors is an integer number (2035287007641).

Almost surely, 242334213330201 is an apocalyptic number.

It is an amenable number.

42334213330201 is a deficient number, since it is larger than the sum of its proper divisors (6512674853183).

42334213330201 is a wasteful number, since it uses less digits than its factorization.

42334213330201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93854941 (or 93854928 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 42334213330201 its reverse (10203331243324), we get a palindrome (52537544573525).

The spelling of 42334213330201 in words is "forty-two trillion, three hundred thirty-four billion, two hundred thirteen million, three hundred thirty thousand, two hundred one".

Divisors: 1 13 17 157 169 221 2041 2669 2873 26533 34697 451061 93854741 1220111633 1595530597 14735194337 15861451229 20741897761 191557526381 250498303729 269644670893 2490247842953 3256477948477 42334213330201