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214133142043301 = 1329707538027821
BaseRepresentation
bin110000101100000011000001…
…110111011011101010100101
31001002011221001211210121001212
4300230003001313123222211
5211031324133330341201
62035231224000401205
763050415610455545
oct6054030167335245
91032157054717055
10214133142043301
11622583a0275768
1220024530016205
139263890043270
143ac415697b325
1519b5163aa1abb
hexc2c0c1ddbaa5

214133142043301 has 16 divisors (see below), whose sum is σ = 238560217470960. Its totient is φ = 190842731735040.

The previous prime is 214133142043297. The next prime is 214133142043343. The reversal of 214133142043301 is 103340241331412.

It can be written as a sum of positive squares in 8 ways, for example, as 59246903234401 + 154886238808900 = 7697201^2 + 12445330^2 .

It is a cyclic number.

It is not a de Polignac number, because 214133142043301 - 22 = 214133142043297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214133142043001) 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 15 ways as a sum of consecutive naturals, for example, 22659971 + ... + 30687791.

It is an arithmetic number, because the mean of its divisors is an integer number (14910013591935).

Almost surely, 2214133142043301 is an apocalyptic number.

It is an amenable number.

214133142043301 is a deficient number, since it is larger than the sum of its proper divisors (24427075427659).

214133142043301 is a wasteful number, since it uses less digits than its factorization.

214133142043301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098616.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 214133142043301 its reverse (103340241331412), we get a palindrome (317473383374713).

The spelling of 214133142043301 in words is "two hundred fourteen trillion, one hundred thirty-three billion, one hundred forty-two million, forty-three thousand, three hundred one".

Divisors: 1 13 29 377 70753 919789 2051837 8027821 26673881 104361673 232806809 3026488517 567992419213 7383901449769 16471780157177 214133142043301