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204112222104114 = 2351770573500771
BaseRepresentation
bin101110011010001110010100…
…011111100010101000110010
3222202200221022201000022200000
4232122032110133202220302
5203223133312324312424
62002035505500410430
760664423066422012
oct5632162437425062
9882627281008600
10204112222104114
115a044564201805
121aa86396246a16
1389b7913a54bcc
1438591272d9c42
15188e6622783c9
hexb9a3947e2a32

204112222104114 has 96 divisors (see below), whose sum is σ = 485669269141056. Its totient is φ = 64026114647040.

The previous prime is 204112222104071. The next prime is 204112222104137. The reversal of 204112222104114 is 411401222211402.

204112222104114 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 1 + 22 + 221 + 0 + 411 + 4 = 666.

204112222104114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56554549 + ... + 60055319.

It is an arithmetic number, because the mean of its divisors is an integer number (5059054886886).

Almost surely, 2204112222104114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204112222104114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242834634570528).

204112222104114 is an abundant number, since it is smaller than the sum of its proper divisors (281557047036942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204112222104114 is a wasteful number, since it uses less digits than its factorization.

204112222104114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507862 (or 3507850 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 204112222104114 its reverse (411401222211402), we get a palindrome (615513444315516).

The spelling of 204112222104114 in words is "two hundred four trillion, one hundred twelve billion, two hundred twenty-two million, one hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 7057 8262 14114 21171 42342 63513 119969 127026 190539 239938 359907 381078 571617 719814 1079721 1143234 1714851 2159442 3239163 3429702 3500771 6478326 7001542 9717489 10502313 19434978 21004626 29152467 31506939 58304934 59513107 63013878 94520817 119026214 178539321 189041634 283562451 357078642 535617963 567124902 850687353 1071235926 1606853889 1701374706 3213707778 4820561667 9641123334 14461685001 24704940947 28923370002 49409881894 74114822841 148229645682 222344468523 419983996099 444688937046 667033405569 839967992198 1259951988297 1334066811138 2001100216707 2519903976594 3779855964891 4002200433414 6003300650121 7559711929782 11339567894673 12006601300242 22679135789346 34018703684019 68037407368038 102056111052057 204112222104114