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210404256601 = 71139742116349
BaseRepresentation
bin1100001111110100010…
…0100010101101011001
3202010002102201200102111
43003331010202231121
511421401442202401
6240354113232321
721126004446430
oct3037504425531
9663072650374
10210404256601
1181260799180
123493bb626a1
1316ac19ab526
14a27dbd6117
155716a86e51
hex30fd122b59

210404256601 has 32 divisors (see below), whose sum is σ = 263623737600. Its totient is φ = 163139961600.

The previous prime is 210404256589. The next prime is 210404256631. The reversal of 210404256601 is 106652404012.

It is a happy number.

210404256601 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 210404256601 - 219 = 210403732313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210404256631) 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 31 ways as a sum of consecutive naturals, for example, 12861375 + ... + 12877723.

It is an arithmetic number, because the mean of its divisors is an integer number (8238241800).

Almost surely, 2210404256601 is an apocalyptic number.

It is an amenable number.

210404256601 is a deficient number, since it is larger than the sum of its proper divisors (53219480999).

210404256601 is a wasteful number, since it uses less digits than its factorization.

210404256601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17185.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 210404256601 in words is "two hundred ten billion, four hundred four million, two hundred fifty-six thousand, six hundred one".

Divisors: 1 7 11 77 397 421 2779 2947 4367 4631 16349 30569 32417 114443 167137 179839 1169959 1258873 1838507 6490553 6882929 12869549 45433871 48180503 71396083 75712219 499772581 529985533 2732522813 19127659691 30057750943 210404256601