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221240011409 = 20531017710589
BaseRepresentation
bin1100111000001011101…
…1101010101010010001
3210011001121010001121122
43032002323222222101
512111044420331114
6245345233132025
721661351032344
oct3160273525221
9704047101548
10221240011409
118591124513a
1236a649ba015
1317b2a88a071
14a9cad5045b
155b4ced0e8e
hex3382eeaa91

221240011409 has 8 divisors (see below), whose sum is σ = 221390431080. Its totient is φ = 221089637376.

The previous prime is 221240011403. The next prime is 221240011411. The reversal of 221240011409 is 904110042122.

221240011409 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 4 ways, for example, as 16320829009 + 204919182400 = 127753^2 + 452680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221240011409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221240011403) 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 7 ways as a sum of consecutive naturals, for example, 20888087 + ... + 20898675.

It is an arithmetic number, because the mean of its divisors is an integer number (27673803885).

Almost surely, 2221240011409 is an apocalyptic number.

It is an amenable number.

221240011409 is a deficient number, since it is larger than the sum of its proper divisors (150419671).

221240011409 is a wasteful number, since it uses less digits than its factorization.

221240011409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22819.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 221240011409 in words is "two hundred twenty-one billion, two hundred forty million, eleven thousand, four hundred nine".

Divisors: 1 2053 10177 10589 20893381 21739217 107764253 221240011409