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214121254081 = 7711034182791
BaseRepresentation
bin1100011101101010011…
…1110000110011000001
3202110200110220201101211
43013122213300303001
512002010020112311
6242211013330121
721320060425660
oct3073247606301
9673613821354
10214121254081
1182898958419
12355b8936941
1317264aa3a17
14a51371cdd7
155883059821
hex31da9f0cc1

214121254081 has 16 divisors (see below), whose sum is σ = 250565971968. Its totient is φ = 179190723600.

The previous prime is 214121254063. The next prime is 214121254169. The reversal of 214121254081 is 180452121412.

214121254081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214121254081 - 27 = 214121253953 is a prime.

It is a super-2 number, since 2×2141212540812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214121204081) 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 in 15 ways as a sum of consecutive naturals, for example, 2040205 + ... + 2142586.

It is an arithmetic number, because the mean of its divisors is an integer number (15660373248).

Almost surely, 2214121254081 is an apocalyptic number.

It is an amenable number.

214121254081 is a deficient number, since it is larger than the sum of its proper divisors (36444717887).

214121254081 is a wasteful number, since it uses less digits than its factorization.

214121254081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182972.

The product of its (nonzero) digits is 5120, while the sum is 31.

Adding to 214121254081 its reverse (180452121412), we get a palindrome (394573375493).

The spelling of 214121254081 in words is "two hundred fourteen billion, one hundred twenty-one million, two hundred fifty-four thousand, eighty-one".

Divisors: 1 7 71 103 497 721 7313 51191 4182791 29279537 296978161 430827473 2078847127 3015792311 30588750583 214121254081