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214001103104 = 282833295073
BaseRepresentation
bin1100011101001101110…
…1011011000100000000
3202110101002211102020122
43013103131123010000
512001233240244404
6242151042155412
721314101235405
oct3072335330400
9673332742218
10214001103104
1182837053198
1235584652b68
1317245c26179
14a5017a42ac
1558777243be
hex31d375b100

214001103104 has 36 divisors (see below), whose sum is σ = 427318494876. Its totient is φ = 106962419712.

The previous prime is 214001103067. The next prime is 214001103109. The reversal of 214001103104 is 401301100412.

It is a happy number.

214001103104 is digitally balanced in base 3, 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 2 ways, for example, as 44876185600 + 169124917504 = 211840^2 + 411248^2 .

It is not an unprimeable number, because it can be changed into a prime (214001103109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 577712 + ... + 872784.

It is an arithmetic number, because the mean of its divisors is an integer number (11869958191).

Almost surely, 2214001103104 is an apocalyptic number.

It is an amenable number.

214001103104 is a deficient number, since it is larger than the sum of its proper divisors (213317391772).

214001103104 is an equidigital number, since it uses as much as digits as its factorization.

214001103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297922 (or 297908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 214001103104 its reverse (401301100412), we get a palindrome (615302203516).

The spelling of 214001103104 in words is "two hundred fourteen billion, one million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 2833 5666 11332 22664 45328 90656 181312 295073 362624 590146 725248 1180292 2360584 4721168 9442336 18884672 37769344 75538688 835941809 1671883618 3343767236 6687534472 13375068944 26750137888 53500275776 107000551552 214001103104