Search a number
-
+
10414410012201 = 3133153162529613
BaseRepresentation
bin1001011110001100101100…
…1101011001011000101001
31100212121102010210002101210
42113203023031121120221
52331112202430342301
634052151445503333
72123262534335556
oct227431315313051
940777363702353
1010414410012201
1133557a9a48908
121202470a11b49
135a70c80112b0
142800bb017a2d
15130d8195ead6
hex978cb359629

10414410012201 has 32 divisors (see below), whose sum is σ = 15727665687552. Its totient is φ = 6085108673280.

The previous prime is 10414410012187. The next prime is 10414410012221. The reversal of 10414410012201 is 10221001441401.

10414410012201 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 10414410012201 - 231 = 10412262528553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10414410012221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81200730 + ... + 81328883.

It is an arithmetic number, because the mean of its divisors is an integer number (491489552736).

Almost surely, 210414410012201 is an apocalyptic number.

It is an amenable number.

10414410012201 is a deficient number, since it is larger than the sum of its proper divisors (5313255675351).

10414410012201 is a wasteful number, since it uses less digits than its factorization.

10414410012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162529713.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10414410012201 its reverse (10221001441401), we get a palindrome (20635411453602).

The spelling of 10414410012201 in words is "ten trillion, four hundred fourteen billion, four hundred ten million, twelve thousand, two hundred one".

Divisors: 1 3 13 31 39 53 93 159 403 689 1209 1643 2067 4929 21359 64077 162529613 487588839 2112884969 5038418003 6338654907 8614069489 15115254009 25842208467 65499434039 111982903357 196498302117 267036154159 335948710071 801108462477 3471470004067 10414410012201